85639626240 has 640 divisors, whose sum is σ = 326631951360. Its totient is φ = 18728091648.

The previous prime is 85639626227. The next prime is 85639626263. The reversal of 85639626240 is 4262693658.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254123352 + ... + 254123688.

It is an arithmetic number, because the mean of its divisors is an integer number (510362424).

Almost surely, 2^85639626240 is an apocalyptic number.

85639626240 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 85639626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163315975680).

85639626240 is an abundant number, since it is smaller than the sum of its proper divisors (240992325120).

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

85639626240 is a wasteful number, since it uses less digits than its factorization.

85639626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 85639626240 in words is "eighty-five billion, six hundred thirty-nine million, six hundred twenty-six thousand, two hundred forty".