1975960711200 has 576 divisors, whose sum is σ = 7540054905600. Its totient is φ = 449271889920.

The previous prime is 1975960711199. The next prime is 1975960711201. The reversal of 1975960711200 is 21170695791.

It is an interprime number because it is at equal distance from previous prime (1975960711199) and next prime (1975960711201).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1975960711200.

It is not an unprimeable number, because it can be changed into a prime (1975960711201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158871382 + ... + 158883818.

It is an arithmetic number, because the mean of its divisors is an integer number (13090373100).

Almost surely, 2^{1975960711200} is an apocalyptic number.

1975960711200 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 1975960711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770027452800).

1975960711200 is an abundant number, since it is smaller than the sum of its proper divisors (5564094194400).

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

1975960711200 is a wasteful number, since it uses less digits than its factorization.

1975960711200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12674 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 48.

The spelling of 1975960711200 in words is "one trillion, nine hundred seventy-five billion, nine hundred sixty million, seven hundred eleven thousand, two hundred".