157821542400 has 336 divisors, whose sum is σ = 530511946848. Its totient is φ = 41385984000.

The previous prime is 157821542377. The next prime is 157821542477. The reversal of 157821542400 is 4245128751.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37476295 + ... + 37480505.

Almost surely, 2^157821542400 is an apocalyptic number.

157821542400 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 157821542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265255973424).

157821542400 is an abundant number, since it is smaller than the sum of its proper divisors (372690404448).

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

157821542400 is an equidigital number, since it uses as much as digits as its factorization.

157821542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 157821542400 in words is "one hundred fifty-seven billion, eight hundred twenty-one million, five hundred forty-two thousand, four hundred".