1973875348800 has 1344 divisors, whose sum is σ = 7741212864000. Its totient is φ = 488268103680.

The previous prime is 1973875348799. The next prime is 1973875348801. The reversal of 1973875348800 is 88435783791.

1973875348800 is a `hidden beast` number, since 1 + 9 + 73 + 87 + 5 + 3 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1973875348799) and next prime (1973875348801).

It is a super-2 number, since 2×1973875348800² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973875348801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4496298981 + ... + 4496299419.

It is an arithmetic number, because the mean of its divisors is an integer number (5759831000).

Almost surely, 2^{1973875348800} is an apocalyptic number.

1973875348800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973875348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870606432000).

1973875348800 is an abundant number, since it is smaller than the sum of its proper divisors (5767337515200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1973875348800 is a wasteful number, since it uses less digits than its factorization.

1973875348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1973875348800 in words is "one trillion, nine hundred seventy-three billion, eight hundred seventy-five million, three hundred forty-eight thousand, eight hundred".