157085225856 has 640 divisors, whose sum is σ = 520769208960. Its totient is φ = 46700789760.

The previous prime is 157085225839. The next prime is 157085225887. The reversal of 157085225856 is 658522580751.

157085225856 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 8 + 52 + 2 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 867874086 + ... + 867874266.

It is an arithmetic number, because the mean of its divisors is an integer number (813701889).

Almost surely, 2^157085225856 is an apocalyptic number.

157085225856 is a gapful number since it is divisible by the number (16) 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 157085225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260384604480).

157085225856 is an abundant number, since it is smaller than the sum of its proper divisors (363683983104).

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

157085225856 is a wasteful number, since it uses less digits than its factorization.

157085225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 157085225856 in words is "one hundred fifty-seven billion, eighty-five million, two hundred twenty-five thousand, eight hundred fifty-six".