30780590957568 has 396 divisors, whose sum is σ = 97463787541380. Its totient is φ = 9323627937792.

The previous prime is 30780590957549. The next prime is 30780590957573. The reversal of 30780590957568 is 86575909508703.

30780590957568 is a `hidden beast` number, since 3 + 0 + 7 + 8 + 0 + 5 + 9 + 0 + 9 + 57 + 568 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 998336692224 + 29782254265344 = 999168^2 + 5457312^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30780590957496 and 30780590957505.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131644348 + ... + 131877956.

Almost surely, 2^{30780590957568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30780590957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48731893770690).

30780590957568 is an abundant number, since it is smaller than the sum of its proper divisors (66683196583812).

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

30780590957568 is a wasteful number, since it uses less digits than its factorization.

30780590957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233710 (or 233660 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 30780590957568 in words is "thirty trillion, seven hundred eighty billion, five hundred ninety million, nine hundred fifty-seven thousand, five hundred sixty-eight".