11978507156004 has 81 divisors (see below), whose sum is σ = 30360743868819. Its totient is φ = 3982085858880.

The previous prime is 11978507155999. The next prime is 11978507156009. The reversal of 11978507156004 is 40065170587911.

The square root of 11978507156004 is 3460998.

It is a perfect power (a square), and thus also a powerful number.

11978507156004 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 8 + 5 + 0 + 71 + 560 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11978507155999) and next prime (11978507156009).

It can be written as a sum of positive squares in 4 ways, for example, as 3897268222500 + 8081238933504 = 1974150^2 + 2842752^2 .

It is not an unprimeable number, because it can be changed into a prime (11978507156009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12729550174 + ... + 12729551114.

Almost surely, 2^{11978507156004} is an apocalyptic number.

11978507156004 is the 3460998-th square number.

It is an amenable number.

11978507156004 is an abundant number, since it is smaller than the sum of its proper divisors (18382236712815).

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

11978507156004 is an frugal number, since it uses more digits than its factorization.

11978507156004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 11978507156004 in words is "eleven trillion, nine hundred seventy-eight billion, five hundred seven million, one hundred fifty-six thousand, four".