157873766400 has 1728 divisors, whose sum is σ = 722594152800. Its totient is φ = 32699842560.

The previous prime is 157873766389. The next prime is 157873766411. The reversal of 157873766400 is 4667378751.

157873766400 is a `hidden beast` number, since 1 + 578 + 7 + 3 + 7 + 6 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157873766389) and next prime (157873766411).

It is a super-2 number, since 2×157873766400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6864076789 + ... + 6864076811.

Almost surely, 2^157873766400 is an apocalyptic number.

157873766400 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 157873766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361297076400).

157873766400 is an abundant number, since it is smaller than the sum of its proper divisors (564720386400).

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

157873766400 is a wasteful number, since it uses less digits than its factorization.

157873766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 157873766400 in words is "one hundred fifty-seven billion, eight hundred seventy-three million, seven hundred sixty-six thousand, four hundred".