85395515563008 has 1408 divisors, whose sum is σ = 298710816768000. Its totient is φ = 23598855290880.

The previous prime is 85395515562983. The next prime is 85395515563013. The reversal of 85395515563008 is 80036551559358.

85395515563008 is a `hidden beast` number, since 8 + 5 + 3 + 9 + 55 + 15 + 563 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 274583651173 + ... + 274583651483.

Almost surely, 2^{85395515563008} 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 85395515563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149355408384000).

85395515563008 is an abundant number, since it is smaller than the sum of its proper divisors (213315301204992).

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

85395515563008 is a wasteful number, since it uses less digits than its factorization.

85395515563008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 63.

The spelling of 85395515563008 in words is "eighty-five trillion, three hundred ninety-five billion, five hundred fifteen million, five hundred sixty-three thousand, eight".