157089666352320 has 672 divisors, whose sum is σ = 616715077829760. Its totient is φ = 36358172835840.

The previous prime is 157089666352313. The next prime is 157089666352321. The reversal of 157089666352320 is 23253666980751.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (157089666352321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656091186 + ... + 656330574.

It is an arithmetic number, because the mean of its divisors is an integer number (917730770580).

Almost surely, 2^{157089666352320} is an apocalyptic number.

157089666352320 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 157089666352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308357538914880).

157089666352320 is an abundant number, since it is smaller than the sum of its proper divisors (459625411477440).

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

157089666352320 is a wasteful number, since it uses less digits than its factorization.

157089666352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240473 (or 240460 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 157089666352320 in words is "one hundred fifty-seven trillion, eighty-nine billion, six hundred sixty-six million, three hundred fifty-two thousand, three hundred twenty".