85107240504 has 576 divisors, whose sum is σ = 282385259520. Its totient is φ = 22992076800.

The previous prime is 85107240503. The next prime is 85107240509. The reversal of 85107240504 is 40504270158.

85107240504 is a `hidden beast` number, since 8 + 5 + 107 + 2 + 40 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85107240503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670135689 + ... + 670135815.

Almost surely, 2^85107240504 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 85107240504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141192629760).

85107240504 is an abundant number, since it is smaller than the sum of its proper divisors (197278019016).

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

85107240504 is a wasteful number, since it uses less digits than its factorization.

85107240504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 85107240504 in words is "eighty-five billion, one hundred seven million, two hundred forty thousand, five hundred four".