8993057187840 has 1536 divisors, whose sum is σ = 34237292544000. Its totient is φ = 1991717683200.

The previous prime is 8993057187839. The next prime is 8993057187857. The reversal of 8993057187840 is 487817503998.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33431439226 + ... + 33431439494.

It is an arithmetic number, because the mean of its divisors is an integer number (22289904000).

Almost surely, 2^{8993057187840} is an apocalyptic number.

8993057187840 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 8993057187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118646272000).

8993057187840 is an abundant number, since it is smaller than the sum of its proper divisors (25244235356160).

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

8993057187840 is a wasteful number, since it uses less digits than its factorization.

8993057187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 69.

The spelling of 8993057187840 in words is "eight trillion, nine hundred ninety-three billion, fifty-seven million, one hundred eighty-seven thousand, eight hundred forty".