156978993600 has 672 divisors, whose sum is σ = 672316135680. Its totient is φ = 35126784000.

The previous prime is 156978993569. The next prime is 156978993607. The reversal of 156978993600 is 6399879651.

156978993600 is a `hidden beast` number, since 1 + 569 + 7 + 8 + 9 + 9 + 3 + 60 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156978993607) 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, 6164895 + ... + 6190305.

It is an arithmetic number, because the mean of its divisors is an integer number (1000470440).

Almost surely, 2^156978993600 is an apocalyptic number.

156978993600 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 156978993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336158067840).

156978993600 is an abundant number, since it is smaller than the sum of its proper divisors (515337142080).

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

156978993600 is a wasteful number, since it uses less digits than its factorization.

156978993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25466 (or 25445 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 156978993600 in words is "one hundred fifty-six billion, nine hundred seventy-eight million, nine hundred ninety-three thousand, six hundred".