157035878064000 has 2560 divisors, whose sum is σ = 667377062352000. Its totient is φ = 36253827072000.

The previous prime is 157035878063989. The next prime is 157035878064011. The reversal of 157035878064000 is 460878530751.

It is a happy number.

157035878064000 is a `hidden beast` number, since 1 + 57 + 0 + 3 + 587 + 8 + 0 + 6 + 4 + 0 + 0 + 0 = 666.

157035878064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157035878063989) and next prime (157035878064011).

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 319 ways as a sum of consecutive naturals, for example, 99959183215 + ... + 99959184785.

Almost surely, 2^{157035878064000} is an apocalyptic number.

157035878064000 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 157035878064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333688531176000).

157035878064000 is an abundant number, since it is smaller than the sum of its proper divisors (510341184288000).

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

157035878064000 is a wasteful number, since it uses less digits than its factorization.

157035878064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 157035878064000 in words is "one hundred fifty-seven trillion, thirty-five billion, eight hundred seventy-eight million, sixty-four thousand".