157692673703240 has 512 divisors, whose sum is σ = 411819448320000. Its totient is φ = 53900577239040.

The previous prime is 157692673703161. The next prime is 157692673703263. The reversal of 157692673703240 is 42307376296751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23681131031 + ... + 23681137689.

It is an arithmetic number, because the mean of its divisors is an integer number (804334860000).

Almost surely, 2^{157692673703240} is an apocalyptic number.

157692673703240 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 157692673703240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205909724160000).

157692673703240 is an abundant number, since it is smaller than the sum of its proper divisors (254126774616760).

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

157692673703240 is a wasteful number, since it uses less digits than its factorization.

157692673703240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 62.

The spelling of 157692673703240 in words is "one hundred fifty-seven trillion, six hundred ninety-two billion, six hundred seventy-three million, seven hundred three thousand, two hundred forty".