30987878400 has 480 divisors, whose sum is σ = 115044595380. Its totient is φ = 8245739520.

The previous prime is 30987878393. The next prime is 30987878417. The reversal of 30987878400 is 487878903.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66354967 + ... + 66355433.

Almost surely, 2^30987878400 is an apocalyptic number.

30987878400 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 30987878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57522297690).

30987878400 is an abundant number, since it is smaller than the sum of its proper divisors (84056716980).

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

30987878400 is an frugal number, since it uses more digits than its factorization.

30987878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 30987878400 in words is "thirty billion, nine hundred eighty-seven million, eight hundred seventy-eight thousand, four hundred".