157162420800 has 840 divisors, whose sum is σ = 720282024000. Its totient is φ = 32655052800.

The previous prime is 157162420787. The next prime is 157162420861. The reversal of 157162420800 is 8024261751.

157162420800 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 624 + 20 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9971326 + ... + 9987074.

It is an arithmetic number, because the mean of its divisors is an integer number (857478600).

Almost surely, 2^157162420800 is an apocalyptic number.

157162420800 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 157162420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360141012000).

157162420800 is an abundant number, since it is smaller than the sum of its proper divisors (563119603200).

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

157162420800 is a wasteful number, since it uses less digits than its factorization.

157162420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15801 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 157162420800 in words is "one hundred fifty-seven billion, one hundred sixty-two million, four hundred twenty thousand, eight hundred".