30975400512 has 672 divisors, whose sum is σ = 111834777600. Its totient is φ = 8309993472.

The previous prime is 30975400471. The next prime is 30975400513. The reversal of 30975400512 is 21500457903.

30975400512 is a `hidden beast` number, since 3 + 0 + 97 + 54 + 0 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30975400513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222844539 + ... + 222844677.

It is an arithmetic number, because the mean of its divisors is an integer number (166420800).

Almost surely, 2^30975400512 is an apocalyptic number.

30975400512 is a gapful number since it is divisible by the number (32) 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 30975400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55917388800).

30975400512 is an abundant number, since it is smaller than the sum of its proper divisors (80859377088).

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

30975400512 is a wasteful number, since it uses less digits than its factorization.

30975400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 30975400512 in words is "thirty billion, nine hundred seventy-five million, four hundred thousand, five hundred twelve".