8890973691600 has 960 divisors, whose sum is σ = 38439027744768. Its totient is φ = 1696481280000.

The previous prime is 8890973691553. The next prime is 8890973691623. The reversal of 8890973691600 is 61963790988.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231812425 + ... + 231850775.

Almost surely, 2^{8890973691600} is an apocalyptic number.

8890973691600 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 8890973691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219513872384).

8890973691600 is an abundant number, since it is smaller than the sum of its proper divisors (29548054053168).

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

8890973691600 is a wasteful number, since it uses less digits than its factorization.

8890973691600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38596 (or 38585 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 8890973691600 in words is "eight trillion, eight hundred ninety billion, nine hundred seventy-three million, six hundred ninety-one thousand, six hundred".