85763974776480 has 2304 divisors, whose sum is σ = 410807274393600. Its totient is φ = 16427002798080.

The previous prime is 85763974776457. The next prime is 85763974776509. The reversal of 85763974776480 is 8467747936758.

85763974776480 is a `hidden beast` number, since 8 + 5 + 7 + 6 + 3 + 9 + 7 + 477 + 64 + 80 = 666.

It is a super-2 number, since 2×85763974776480² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85763974776480.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27818349019 + ... + 27818352101.

It is an arithmetic number, because the mean of its divisors is an integer number (178301768400).

Almost surely, 2^{85763974776480} is an apocalyptic number.

85763974776480 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 85763974776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205403637196800).

85763974776480 is an abundant number, since it is smaller than the sum of its proper divisors (325043299617120).

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

85763974776480 is a wasteful number, since it uses less digits than its factorization.

85763974776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 11948912640, while the sum is 81.

The spelling of 85763974776480 in words is "eighty-five trillion, seven hundred sixty-three billion, nine hundred seventy-four million, seven hundred seventy-six thousand, four hundred eighty".