30984560750400 has 336 divisors, whose sum is σ = 102124746931200. Its totient is φ = 8224413603840.

The previous prime is 30984560750369. The next prime is 30984560750419. The reversal of 30984560750400 is 405706548903.

It is a super-2 number, since 2×30984560750400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3628589331 + ... + 3628597869.

It is an arithmetic number, because the mean of its divisors is an integer number (303942699200).

Almost surely, 2^{30984560750400} is an apocalyptic number.

30984560750400 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 30984560750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51062373465600).

30984560750400 is an abundant number, since it is smaller than the sum of its proper divisors (71140186180800).

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

30984560750400 is a wasteful number, since it uses less digits than its factorization.

30984560750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 30984560750400 in words is "thirty trillion, nine hundred eighty-four billion, five hundred sixty million, seven hundred fifty thousand, four hundred".