1973560048200 has 384 divisors, whose sum is σ = 7337747020800. Its totient is φ = 484669992960.

The previous prime is 1973560048153. The next prime is 1973560048249. The reversal of 1973560048200 is 28400653791.

1973560048200 is a `hidden beast` number, since 1 + 9 + 7 + 3 + 560 + 0 + 4 + 82 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30364137 + ... + 30429063.

It is an arithmetic number, because the mean of its divisors is an integer number (19108716200).

It is a 1-persistent number, because it is pandigital, but 2⋅1973560048200 = 3947120096400 is not.

Almost surely, 2^{1973560048200} is an apocalyptic number.

1973560048200 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 1973560048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668873510400).

1973560048200 is an abundant number, since it is smaller than the sum of its proper divisors (5364186972600).

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

1973560048200 is a wasteful number, since it uses less digits than its factorization.

1973560048200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65398 (or 65383 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1973560048200 in words is "one trillion, nine hundred seventy-three billion, five hundred sixty million, forty-eight thousand, two hundred".