30768987120400 has 135 divisors (see below), whose sum is σ = 75357972379389. Its totient is φ = 12073068533760.

The previous prime is 30768987120397. The next prime is 30768987120407. The reversal of 30768987120400 is 402178986703.

The square root of 30768987120400 is 5546980.

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

It can be written as a sum of positive squares in 13 ways, for example, as 350497152784 + 30418489967616 = 592028^2 + 5515296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30768987120407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5879796184 + ... + 5879801416.

Almost surely, 2^{30768987120400} is an apocalyptic number.

30768987120400 is the 5546980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30768987120400

30768987120400 is an abundant number, since it is smaller than the sum of its proper divisors (44588985258989).

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

30768987120400 is an frugal number, since it uses more digits than its factorization.

30768987120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10590 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 30768987120400 in words is "thirty trillion, seven hundred sixty-eight billion, nine hundred eighty-seven million, one hundred twenty thousand, four hundred".