157009311586560 has 864 divisors, whose sum is σ = 549551949408000. Its totient is φ = 38152735358976.

The previous prime is 157009311586549. The next prime is 157009311586573. The reversal of 157009311586560 is 65685113900751.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 157009311586560.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10814050981 + ... + 10814065499.

It is an arithmetic number, because the mean of its divisors is an integer number (636055497000).

Almost surely, 2^{157009311586560} is an apocalyptic number.

157009311586560 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 157009311586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274775974704000).

157009311586560 is an abundant number, since it is smaller than the sum of its proper divisors (392542637821440).

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

157009311586560 is a wasteful number, since it uses less digits than its factorization.

157009311586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14879 (or 14846 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 57.

The spelling of 157009311586560 in words is "one hundred fifty-seven trillion, nine billion, three hundred eleven million, five hundred eighty-six thousand, five hundred sixty".