8961958593504 has 384 divisors, whose sum is σ = 32227262484480. Its totient is φ = 2364466470912.

The previous prime is 8961958593491. The next prime is 8961958593547. The reversal of 8961958593504 is 4053958591698.

8961958593504 is a `hidden beast` number, since 8 + 9 + 6 + 1 + 9 + 585 + 9 + 35 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4626937 + ... + 6271559.

It is an arithmetic number, because the mean of its divisors is an integer number (83925162720).

Almost surely, 2^{8961958593504} is an apocalyptic number.

8961958593504 is a gapful number since it is divisible by the number (84) 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 8961958593504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113631242240).

8961958593504 is an abundant number, since it is smaller than the sum of its proper divisors (23265303890976).

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

8961958593504 is a wasteful number, since it uses less digits than its factorization.

8961958593504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644719 (or 1644705 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 8961958593504 in words is "eight trillion, nine hundred sixty-one billion, nine hundred fifty-eight million, five hundred ninety-three thousand, five hundred four".