157263879248000 has 256 divisors, whose sum is σ = 456361628636160. Its totient is φ = 52771828838400.

The previous prime is 157263879247991. The next prime is 157263879248017. The reversal of 157263879248000 is 842978362751.

It is a super-2 number, since 2×157263879248000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9673679 + ... + 20201678.

It is an arithmetic number, because the mean of its divisors is an integer number (1782662611860).

It is a 2-persistent number, because it is pandigital, and so is 2⋅157263879248000 = 314527758496000, but 3⋅157263879248000 = 471791637744000 is not.

Almost surely, 2^{157263879248000} is an apocalyptic number.

157263879248000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157263879248000 is an abundant number, since it is smaller than the sum of its proper divisors (299097749388160).

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

157263879248000 is an equidigital number, since it uses as much as digits as its factorization.

157263879248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29875440 (or 29875418 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 62.

The spelling of 157263879248000 in words is "one hundred fifty-seven trillion, two hundred sixty-three billion, eight hundred seventy-nine million, two hundred forty-eight thousand".