156996403200 has 1530 divisors, whose sum is σ = 719771677944. Its totient is φ = 33124515840.

The previous prime is 156996403171. The next prime is 156996403219. The reversal of 156996403200 is 2304699651.

156996403200 is a `hidden beast` number, since 1 + 569 + 9 + 64 + 0 + 3 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12076646394 + ... + 12076646406.

Almost surely, 2^156996403200 is an apocalyptic number.

156996403200 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 156996403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359885838972).

156996403200 is an abundant number, since it is smaller than the sum of its proper divisors (562775274744).

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

156996403200 is an frugal number, since it uses more digits than its factorization.

156996403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 156996403200 in words is "one hundred fifty-six billion, nine hundred ninety-six million, four hundred three thousand, two hundred".