157268498688 has 216 divisors, whose sum is σ = 518706272448. Its totient is φ = 44891836416.

The previous prime is 157268498677. The next prime is 157268498689. The reversal of 157268498688 is 886894862751.

157268498688 is a `hidden beast` number, since 1 + 5 + 72 + 6 + 8 + 498 + 68 + 8 = 666.

157268498688 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (157268498689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19946395 + ... + 19954277.

It is an arithmetic number, because the mean of its divisors is an integer number (2401417928).

Almost surely, 2^157268498688 is an apocalyptic number.

157268498688 is a gapful number since it is divisible by the number (18) 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 157268498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259353136224).

157268498688 is an abundant number, since it is smaller than the sum of its proper divisors (361437773760).

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

157268498688 is a wasteful number, since it uses less digits than its factorization.

157268498688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9149 (or 9132 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 157268498688 in words is "one hundred fifty-seven billion, two hundred sixty-eight million, four hundred ninety-eight thousand, six hundred eighty-eight".