8515640901600 has 1728 divisors, whose sum is σ = 38302308495360. Its totient is φ = 1736051097600.

The previous prime is 8515640901571. The next prime is 8515640901601. The reversal of 8515640901600 is 61090465158.

8515640901600 is a `hidden beast` number, since 8 + 515 + 6 + 40 + 90 + 1 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×8515640901600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8515640901601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1098363324 + ... + 1098371076.

Almost surely, 2^{8515640901600} is an apocalyptic number.

8515640901600 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 8515640901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151154247680).

8515640901600 is an abundant number, since it is smaller than the sum of its proper divisors (29786667593760).

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

8515640901600 is a wasteful number, since it uses less digits than its factorization.

8515640901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 8515640901600 in words is "eight trillion, five hundred fifteen billion, six hundred forty million, nine hundred one thousand, six hundred".