85764107520 has 864 divisors, whose sum is σ = 381198085632. Its totient is φ = 17303666688.

The previous prime is 85764107509. The next prime is 85764107549. The reversal of 85764107520 is 2570146758.

85764107520 is a `hidden beast` number, since 8 + 57 + 64 + 10 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24109582 + ... + 24113138.

It is an arithmetic number, because the mean of its divisors is an integer number (441201488).

Almost surely, 2^85764107520 is an apocalyptic number.

85764107520 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 85764107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190599042816).

85764107520 is an abundant number, since it is smaller than the sum of its proper divisors (295433978112).

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

85764107520 is a wasteful number, since it uses less digits than its factorization.

85764107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 85764107520 in words is "eighty-five billion, seven hundred sixty-four million, one hundred seven thousand, five hundred twenty".