30875074560 has 840 divisors, whose sum is σ = 123774327936. Its totient is φ = 7325614080.

The previous prime is 30875074511. The next prime is 30875074567. The reversal of 30875074560 is 6547057803.

30875074560 is a `hidden beast` number, since 3 + 0 + 87 + 5 + 0 + 7 + 4 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30875074567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 656916457 + ... + 656916503.

Almost surely, 2^30875074560 is an apocalyptic number.

30875074560 is a gapful number since it is divisible by the number (30) 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 30875074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61887163968).

30875074560 is an abundant number, since it is smaller than the sum of its proper divisors (92899253376).

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

30875074560 is an frugal number, since it uses more digits than its factorization.

30875074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 30875074560 in words is "thirty billion, eight hundred seventy-five million, seventy-four thousand, five hundred sixty".