30761157960 has 192 divisors, whose sum is σ = 113997527280. Its totient is φ = 7126548480.

The previous prime is 30761157949. The next prime is 30761157991. The reversal of 30761157960 is 6975116703.

30761157960 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 11 + 579 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4937310756 + 25823847204 = 70266^2 + 160698^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113761 + ... + 272880.

Almost surely, 2^30761157960 is an apocalyptic number.

30761157960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30761157960 is an abundant number, since it is smaller than the sum of its proper divisors (83236369320).

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

30761157960 is a wasteful number, since it uses less digits than its factorization.

30761157960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386688 (or 386681 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 30761157960 in words is "thirty billion, seven hundred sixty-one million, one hundred fifty-seven thousand, nine hundred sixty".