8516525552640 has 2112 divisors, whose sum is σ = 36722150277120. Its totient is φ = 1833234923520.

The previous prime is 8516525552603. The next prime is 8516525552681. The reversal of 8516525552640 is 462555256158.

8516525552640 is a `hidden beast` number, since 8 + 5 + 1 + 6 + 5 + 25 + 552 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65011645375 + ... + 65011645505.

It is an arithmetic number, because the mean of its divisors is an integer number (17387381760).

Almost surely, 2^{8516525552640} is an apocalyptic number.

8516525552640 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 8516525552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361075138560).

8516525552640 is an abundant number, since it is smaller than the sum of its proper divisors (28205624724480).

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

8516525552640 is a wasteful number, since it uses less digits than its factorization.

8516525552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 8516525552640 in words is "eight trillion, five hundred sixteen billion, five hundred twenty-five million, five hundred fifty-two thousand, six hundred forty".