30113534256400 has 405 divisors, whose sum is σ = 88865306257221. Its totient is φ = 9776496925440.

The previous prime is 30113534256349. The next prime is 30113534256413. The reversal of 30113534256400 is 465243531103.

The square root of 30113534256400 is 5487580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10840872332304 + 19272661924096 = 3292548^2 + 4390064^2 .

It is a super-2 number, since 2×30113534256400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30113534256400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14596961769 + ... + 14596963831.

Almost surely, 2^{30113534256400} is an apocalyptic number.

30113534256400 is the 5487580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30113534256400

30113534256400 is an abundant number, since it is smaller than the sum of its proper divisors (58751772000821).

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

30113534256400 is an equidigital number, since it uses as much as digits as its factorization.

30113534256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 30113534256400 its reverse (465243531103), we get a palindrome (30578777787503).

The spelling of 30113534256400 in words is "thirty trillion, one hundred thirteen billion, five hundred thirty-four million, two hundred fifty-six thousand, four hundred".