85014652800 has 768 divisors, whose sum is σ = 356685742080. Its totient is φ = 17282457600.

The previous prime is 85014652783. The next prime is 85014652829. The reversal of 85014652800 is 825641058.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34741177 + ... + 34743623.

It is an arithmetic number, because the mean of its divisors is an integer number (464434560).

Almost surely, 2^85014652800 is an apocalyptic number.

85014652800 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 85014652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178342871040).

85014652800 is an abundant number, since it is smaller than the sum of its proper divisors (271671089280).

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

85014652800 is a wasteful number, since it uses less digits than its factorization.

85014652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 85014652800 in words is "eighty-five billion, fourteen million, six hundred fifty-two thousand, eight hundred".