157757023920 has 320 divisors, whose sum is σ = 520979226624. Its totient is φ = 39404175360.

The previous prime is 157757023909. The next prime is 157757023927. The reversal of 157757023920 is 29320757751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157757023920.

It is not an unprimeable number, because it can be changed into a prime (157757023927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86536129 + ... + 86537951.

Almost surely, 2^157757023920 is an apocalyptic number.

157757023920 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 157757023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260489613312).

157757023920 is an abundant number, since it is smaller than the sum of its proper divisors (363222202704).

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

157757023920 is a wasteful number, since it uses less digits than its factorization.

157757023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The spelling of 157757023920 in words is "one hundred fifty-seven billion, seven hundred fifty-seven million, twenty-three thousand, nine hundred twenty".