30712877286400 has 297 divisors, whose sum is σ = 80392613123901. Its totient is φ = 11632179732480.

The previous prime is 30712877286359. The next prime is 30712877286433. The reversal of 30712877286400 is 468277821703.

The square root of 30712877286400 is 5541920.

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., 11056635823104 + 19656241463296 = 3325152^2 + 4433536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16847435889 + ... + 16847437711.

Almost surely, 2^{30712877286400} is an apocalyptic number.

30712877286400 is the 5541920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30712877286400

30712877286400 is an abundant number, since it is smaller than the sum of its proper divisors (49679735837501).

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

30712877286400 is an frugal number, since it uses more digits than its factorization.

30712877286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 30712877286400 in words is "thirty trillion, seven hundred twelve billion, eight hundred seventy-seven million, two hundred eighty-six thousand, four hundred".