85896526464 has 288 divisors, whose sum is σ = 298186106400. Its totient is φ = 24541429248.

The previous prime is 85896526453. The next prime is 85896526549. The reversal of 85896526464 is 46462569858.

85896526464 is a `hidden beast` number, since 8 + 589 + 6 + 5 + 2 + 6 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 1495917 + ... + 1552275.

It is an arithmetic number, because the mean of its divisors is an integer number (1035368425).

Almost surely, 2^85896526464 is an apocalyptic number.

85896526464 is a gapful number since it is divisible by the number (84) 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 85896526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149093053200).

85896526464 is an abundant number, since it is smaller than the sum of its proper divisors (212289579936).

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

85896526464 is an equidigital number, since it uses as much as digits as its factorization.

85896526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56402 (or 56371 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 85896526464 in words is "eighty-five billion, eight hundred ninety-six million, five hundred twenty-six thousand, four hundred sixty-four".