8008401912552 has 192 divisors, whose sum is σ = 22702190284800. Its totient is φ = 2547150520320.

The previous prime is 8008401912493. The next prime is 8008401912571. The reversal of 8008401912552 is 2552191048008.

8008401912552 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 4 + 0 + 1 + 91 + 2 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8008401912498 and 8008401912507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68091477 + ... + 68208987.

It is an arithmetic number, because the mean of its divisors is an integer number (118240574400).

Almost surely, 2^{8008401912552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008401912552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351095142400).

8008401912552 is an abundant number, since it is smaller than the sum of its proper divisors (14693788372248).

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

8008401912552 is a wasteful number, since it uses less digits than its factorization.

8008401912552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117936 (or 117929 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 8008401912552 in words is "eight trillion, eight billion, four hundred one million, nine hundred twelve thousand, five hundred fifty-two".