8890961713920 has 1728 divisors, whose sum is σ = 37131993400320. Its totient is φ = 1935713894400.

The previous prime is 8890961713831. The next prime is 8890961713937. The reversal of 8890961713920 is 293171690988.

8890961713920 is a `hidden beast` number, since 8 + 8 + 9 + 0 + 9 + 617 + 1 + 3 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10350362451 + ... + 10350363309.

Almost surely, 2^{8890961713920} is an apocalyptic number.

8890961713920 is a gapful number since it is divisible by the number (80) 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 8890961713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565996700160).

8890961713920 is an abundant number, since it is smaller than the sum of its proper divisors (28241031686400).

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

8890961713920 is a wasteful number, since it uses less digits than its factorization.

8890961713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 8890961713920 in words is "eight trillion, eight hundred ninety billion, nine hundred sixty-one million, seven hundred thirteen thousand, nine hundred twenty".