30697751120400 has 3840 divisors, whose sum is σ = 146821758361600. Its totient is φ = 5911173365760.

The previous prime is 30697751120369. The next prime is 30697751120401. The reversal of 30697751120400 is 402115779603.

30697751120400 is a `hidden beast` number, since 3 + 0 + 6 + 9 + 77 + 51 + 120 + 400 = 666.

30697751120400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30697751120401) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 108472618659 + ... + 108472618941.

Almost surely, 2^{30697751120400} is an apocalyptic number.

30697751120400 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 30697751120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73410879180800).

30697751120400 is an abundant number, since it is smaller than the sum of its proper divisors (116124007241200).

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

30697751120400 is a wasteful number, since it uses less digits than its factorization.

30697751120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 30697751120400 in words is "thirty trillion, six hundred ninety-seven billion, seven hundred fifty-one million, one hundred twenty thousand, four hundred".