157679911098720 has 4608 divisors, whose sum is σ = 665572967055360. Its totient is φ = 35002261831680.

The previous prime is 157679911098557. The next prime is 157679911098757. The reversal of 157679911098720 is 27890119976751.

157679911098720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1473644028907 + ... + 1473644029013.

It is an arithmetic number, because the mean of its divisors is an integer number (144438577920).

Almost surely, 2^{157679911098720} is an apocalyptic number.

157679911098720 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 157679911098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332786483527680).

157679911098720 is an abundant number, since it is smaller than the sum of its proper divisors (507893055956640).

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

157679911098720 is a wasteful number, since it uses less digits than its factorization.

157679911098720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 72.

The spelling of 157679911098720 in words is "one hundred fifty-seven trillion, six hundred seventy-nine billion, nine hundred eleven million, ninety-eight thousand, seven hundred twenty".