85534708896 has 864 divisors, whose sum is σ = 327512989440. Its totient is φ = 20922789888.

The previous prime is 85534708873. The next prime is 85534708943. The reversal of 85534708896 is 69880743558.

85534708896 is a `hidden beast` number, since 8 + 5 + 534 + 7 + 0 + 8 + 8 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 184739961 + ... + 184740423.

It is an arithmetic number, because the mean of its divisors is an integer number (379065960).

Almost surely, 2^85534708896 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 85534708896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163756494720).

85534708896 is an abundant number, since it is smaller than the sum of its proper divisors (241978280544).

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

85534708896 is a wasteful number, since it uses less digits than its factorization.

85534708896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

It can be divided in two parts, 85534 and 708896, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 85534708896 in words is "eighty-five billion, five hundred thirty-four million, seven hundred eight thousand, eight hundred ninety-six".