11872737975600 has 720 divisors, whose sum is σ = 43029010252800. Its totient is φ = 3028237056000.

The previous prime is 11872737975521. The next prime is 11872737975601. The reversal of 11872737975600 is 657973727811.

11872737975600 is a `hidden beast` number, since 1 + 18 + 7 + 2 + 7 + 3 + 7 + 9 + 7 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (11872737975601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3932670891 + ... + 3932673909.

It is an arithmetic number, because the mean of its divisors is an integer number (59762514240).

Almost surely, 2^{11872737975600} is an apocalyptic number.

11872737975600 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 11872737975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21514505126400).

11872737975600 is an abundant number, since it is smaller than the sum of its proper divisors (31156272277200).

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

11872737975600 is a wasteful number, since it uses less digits than its factorization.

11872737975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 11872737975600 in words is "eleven trillion, eight hundred seventy-two billion, seven hundred thirty-seven million, nine hundred seventy-five thousand, six hundred".