157408844800 has 264 divisors, whose sum is σ = 406632456000. Its totient is φ = 60341944320.

The previous prime is 157408844783. The next prime is 157408844819. The reversal of 157408844800 is 8448804751.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 110616889 + ... + 110618311.

Almost surely, 2^157408844800 is an apocalyptic number.

157408844800 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 157408844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203316228000).

157408844800 is an abundant number, since it is smaller than the sum of its proper divisors (249223611200).

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

157408844800 is a wasteful number, since it uses less digits than its factorization.

157408844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 49.

The spelling of 157408844800 in words is "one hundred fifty-seven billion, four hundred eight million, eight hundred forty-four thousand, eight hundred".