8830977252930 has 480 divisors, whose sum is σ = 29862078840000. Its totient is φ = 1860582866688.

The previous prime is 8830977252901. The next prime is 8830977252943. The reversal of 8830977252930 is 392527790388.

8830977252930 is a `hidden beast` number, since 8 + 8 + 3 + 0 + 9 + 7 + 72 + 529 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27743821 + ... + 28060319.

It is an arithmetic number, because the mean of its divisors is an integer number (62212664250).

Almost surely, 2^{8830977252930} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8830977252930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931039420000).

8830977252930 is an abundant number, since it is smaller than the sum of its proper divisors (21031101587070).

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

8830977252930 is a wasteful number, since it uses less digits than its factorization.

8830977252930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316588 (or 316572 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 8830977252930 in words is "eight trillion, eight hundred thirty billion, nine hundred seventy-seven million, two hundred fifty-two thousand, nine hundred thirty".