156803666400 has 576 divisors, whose sum is σ = 578775456000. Its totient is φ = 40963368960.

The previous prime is 156803666381. The next prime is 156803666401. The reversal of 156803666400 is 4666308651.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156803666401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267126907 + ... + 267127493.

It is an arithmetic number, because the mean of its divisors is an integer number (1004818500).

Almost surely, 2^156803666400 is an apocalyptic number.

156803666400 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 156803666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289387728000).

156803666400 is an abundant number, since it is smaller than the sum of its proper divisors (421971789600).

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

156803666400 is a wasteful number, since it uses less digits than its factorization.

156803666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 156803666400 in words is "one hundred fifty-six billion, eight hundred three million, six hundred sixty-six thousand, four hundred".