30525830400 has 216 divisors, whose sum is σ = 108491840800. Its totient is φ = 7513989120.

The previous prime is 30525830399. The next prime is 30525830431. The reversal of 30525830400 is 403852503.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188451 + ... + 310749.

Almost surely, 2^30525830400 is an apocalyptic number.

30525830400 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 30525830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54245920400).

30525830400 is an abundant number, since it is smaller than the sum of its proper divisors (77966010400).

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

30525830400 is a wasteful number, since it uses less digits than its factorization.

30525830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122341 (or 122322 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 30525830400 in words is "thirty billion, five hundred twenty-five million, eight hundred thirty thousand, four hundred".