157859127719104 has 112 divisors (see below), whose sum is σ = 358624534464000. Its totient is φ = 67536355461120.

The previous prime is 157859127719101. The next prime is 157859127719107. The reversal of 157859127719104 is 401917721958751.

It is an interprime number because it is at equal distance from previous prime (157859127719101) and next prime (157859127719107).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 157859127719104.

It is not an unprimeable number, because it can be changed into a prime (157859127719101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629118789 + ... + 629369659.

It is an arithmetic number, because the mean of its divisors is an integer number (3202004772000).

Almost surely, 2^{157859127719104} is an apocalyptic number.

157859127719104 is a gapful number since it is divisible by the number (14) 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 157859127719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179312267232000).

157859127719104 is an abundant number, since it is smaller than the sum of its proper divisors (200765406744896).

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

157859127719104 is a wasteful number, since it uses less digits than its factorization.

157859127719104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253326 (or 253316 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 67.

The spelling of 157859127719104 in words is "one hundred fifty-seven trillion, eight hundred fifty-nine billion, one hundred twenty-seven million, seven hundred nineteen thousand, one hundred four".