157495677776640 has 864 divisors, whose sum is σ = 661906074525696. Its totient is φ = 33752519147520.

The previous prime is 157495677776609. The next prime is 157495677776653. The reversal of 157495677776640 is 46677776594751.

157495677776640 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 9 + 567 + 7 + 7 + 7 + 6 + 6 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 157495677776640.

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, 360323025 + ... + 360759855.

It is an arithmetic number, because the mean of its divisors is an integer number (766094993664).

Almost surely, 2^{157495677776640} is an apocalyptic number.

157495677776640 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 157495677776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330953037262848).

157495677776640 is an abundant number, since it is smaller than the sum of its proper divisors (504410396749056).

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

157495677776640 is a wasteful number, since it uses less digits than its factorization.

157495677776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437145 (or 437128 counting only the distinct ones).

The product of its (nonzero) digits is 13069123200, while the sum is 81.

The spelling of 157495677776640 in words is "one hundred fifty-seven trillion, four hundred ninety-five billion, six hundred seventy-seven million, seven hundred seventy-six thousand, six hundred forty".