30113692963200 has 5376 divisors, whose sum is σ = 149779817763840. Its totient is φ = 5794003353600.

The previous prime is 30113692963147. The next prime is 30113692963219. The reversal of 30113692963200 is 236929631103.

30113692963200 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 3 + 6 + 9 + 2 + 9 + 632 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 152861385502 + ... + 152861385698.

Almost surely, 2^{30113692963200} is an apocalyptic number.

30113692963200 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 30113692963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889908881920).

30113692963200 is an abundant number, since it is smaller than the sum of its proper divisors (119666124800640).

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

30113692963200 is a wasteful number, since it uses less digits than its factorization.

30113692963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 30113692963200 in words is "thirty trillion, one hundred thirteen billion, six hundred ninety-two million, nine hundred sixty-three thousand, two hundred".