157823576064000 has 3840 divisors, whose sum is σ = 736784522772480. Its totient is φ = 32381337600000.

The previous prime is 157823576063999. The next prime is 157823576064013. The reversal of 157823576064000 is 460675328751.

157823576064000 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 2 + 3 + 576 + 0 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 430036991817 + ... + 430036992183.

It is an arithmetic number, because the mean of its divisors is an integer number (191870969472).

Almost surely, 2^{157823576064000} is an apocalyptic number.

157823576064000 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 157823576064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368392261386240).

157823576064000 is an abundant number, since it is smaller than the sum of its proper divisors (578960946708480).

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

157823576064000 is a wasteful number, since it uses less digits than its factorization.

157823576064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 157823576064000 in words is "one hundred fifty-seven trillion, eight hundred twenty-three billion, five hundred seventy-six million, sixty-four thousand".