30161597400 has 864 divisors, whose sum is σ = 121022254080. Its totient is φ = 6962630400.

The previous prime is 30161597369. The next prime is 30161597413. The reversal of 30161597400 is 479516103.

30161597400 is a `hidden beast` number, since 3 + 0 + 1 + 61 + 597 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 135253689 + ... + 135253911.

Almost surely, 2^30161597400 is an apocalyptic number.

30161597400 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 30161597400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60511127040).

30161597400 is an abundant number, since it is smaller than the sum of its proper divisors (90860656680).

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

30161597400 is a wasteful number, since it uses less digits than its factorization.

30161597400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 30161597400 in words is "thirty billion, one hundred sixty-one million, five hundred ninety-seven thousand, four hundred".