157019763120 has 640 divisors, whose sum is σ = 561780043776. Its totient is φ = 35942400000.

The previous prime is 157019763091. The next prime is 157019763127. The reversal of 157019763120 is 21367910751.

It is not an unprimeable number, because it can be changed into a prime (157019763127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579408585 + ... + 579408855.

Almost surely, 2^157019763120 is an apocalyptic number.

157019763120 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 157019763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280890021888).

157019763120 is an abundant number, since it is smaller than the sum of its proper divisors (404760280656).

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

157019763120 is a wasteful number, since it uses less digits than its factorization.

157019763120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 157019763120 in words is "one hundred fifty-seven billion, nineteen million, seven hundred sixty-three thousand, one hundred twenty".