30861129600 has 960 divisors, whose sum is σ = 132502724640. Its totient is φ = 6927482880.

The previous prime is 30861129553. The next prime is 30861129617. The reversal of 30861129600 is 692116803.

30861129600 is a `hidden beast` number, since 30 + 8 + 6 + 1 + 12 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 132451084 + ... + 132451316.

Almost surely, 2^30861129600 is an apocalyptic number.

30861129600 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 30861129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66251362320).

30861129600 is an abundant number, since it is smaller than the sum of its proper divisors (101641595040).

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

30861129600 is a wasteful number, since it uses less digits than its factorization.

30861129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

It can be divided in two parts, 30861 and 129600, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 30861129600 in words is "thirty billion, eight hundred sixty-one million, one hundred twenty-nine thousand, six hundred".