157215986640 has 960 divisors, whose sum is σ = 606400473600. Its totient is φ = 37334753280.

The previous prime is 157215986611. The next prime is 157215986737. The reversal of 157215986640 is 46689512751.

It is a happy number.

157215986640 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 1 + 598 + 6 + 6 + 40 = 666.

157215986640 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1766471716 + ... + 1766471804.

It is an arithmetic number, because the mean of its divisors is an integer number (631667160).

Almost surely, 2^157215986640 is an apocalyptic number.

157215986640 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 157215986640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303200236800).

157215986640 is an abundant number, since it is smaller than the sum of its proper divisors (449184486960).

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

157215986640 is a wasteful number, since it uses less digits than its factorization.

157215986640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 157215986640 in words is "one hundred fifty-seven billion, two hundred fifteen million, nine hundred eighty-six thousand, six hundred forty".