85752414720 has 640 divisors, whose sum is σ = 355316544000. Its totient is φ = 19595132928.

The previous prime is 85752414703. The next prime is 85752414721. The reversal of 85752414720 is 2741425758.

85752414720 is a `hidden beast` number, since 8 + 57 + 524 + 1 + 4 + 72 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (85752414721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23706352 + ... + 23709968.

It is an arithmetic number, because the mean of its divisors is an integer number (555182100).

Almost surely, 2^85752414720 is an apocalyptic number.

85752414720 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 85752414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177658272000).

85752414720 is an abundant number, since it is smaller than the sum of its proper divisors (269564129280).

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

85752414720 is an equidigital number, since it uses as much as digits as its factorization.

85752414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 85752414720 in words is "eighty-five billion, seven hundred fifty-two million, four hundred fourteen thousand, seven hundred twenty".