30536140800 has 864 divisors, whose sum is σ = 116700030720. Its totient is φ = 7028736000.

The previous prime is 30536140783. The next prime is 30536140823. The reversal of 30536140800 is 804163503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 576153574 + ... + 576153626.

It is an arithmetic number, because the mean of its divisors is an integer number (135069480).

Almost surely, 2^30536140800 is an apocalyptic number.

30536140800 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 30536140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58350015360).

30536140800 is an abundant number, since it is smaller than the sum of its proper divisors (86163889920).

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

30536140800 is a wasteful number, since it uses less digits than its factorization.

30536140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 30536140800 in words is "thirty billion, five hundred thirty-six million, one hundred forty thousand, eight hundred".