157814936353872 has 640 divisors, whose sum is σ = 537714917376000. Its totient is φ = 43365109708800.

The previous prime is 157814936353813. The next prime is 157814936353891. The reversal of 157814936353872 is 278353639418751.

157814936353872 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 1 + 493 + 6 + 3 + 53 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 157814936353872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40705423998 + ... + 40705427874.

It is an arithmetic number, because the mean of its divisors is an integer number (840179558400).

Almost surely, 2^{157814936353872} is an apocalyptic number.

157814936353872 is a gapful number since it is divisible by the number (12) 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 157814936353872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268857458688000).

157814936353872 is an abundant number, since it is smaller than the sum of its proper divisors (379899981022128).

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

157814936353872 is a wasteful number, since it uses less digits than its factorization.

157814936353872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6500 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 157814936353872 in words is "one hundred fifty-seven trillion, eight hundred fourteen billion, nine hundred thirty-six million, three hundred fifty-three thousand, eight hundred seventy-two".