156421324800 has 1008 divisors, whose sum is σ = 655317744480. Its totient is φ = 36238786560.

The previous prime is 156421324799. The next prime is 156421324819. The reversal of 156421324800 is 8423124651.

It is a happy number.

156421324800 is a `hidden beast` number, since 1 + 5 + 6 + 42 + 132 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9201254392 + ... + 9201254408.

It is an arithmetic number, because the mean of its divisors is an integer number (650116810).

Almost surely, 2^156421324800 is an apocalyptic number.

156421324800 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 156421324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327658872240).

156421324800 is an abundant number, since it is smaller than the sum of its proper divisors (498896419680).

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

156421324800 is an frugal number, since it uses more digits than its factorization.

156421324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 156421324800 in words is "one hundred fifty-six billion, four hundred twenty-one million, three hundred twenty-four thousand, eight hundred".