157413580800 has 672 divisors, whose sum is σ = 630120062592. Its totient is φ = 33848033280.

The previous prime is 157413580771. The next prime is 157413580829. The reversal of 157413580800 is 8085314751.

It is an interprime number because it is at equal distance from previous prime (157413580771) and next prime (157413580829).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73112524 + ... + 73114676.

Almost surely, 2^157413580800 is an apocalyptic number.

157413580800 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 157413580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315060031296).

157413580800 is an abundant number, since it is smaller than the sum of its proper divisors (472706481792).

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

157413580800 is a wasteful number, since it uses less digits than its factorization.

157413580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 157413580800 in words is "one hundred fifty-seven billion, four hundred thirteen million, five hundred eighty thousand, eight hundred".