85280253520 has 320 divisors, whose sum is σ = 258452029440. Its totient is φ = 25393305600.

The previous prime is 85280253491. The next prime is 85280253563. The reversal of 85280253520 is 2535208258.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 15083014 + ... + 15088666.

It is an arithmetic number, because the mean of its divisors is an integer number (807662592).

Almost surely, 2^85280253520 is an apocalyptic number.

85280253520 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 85280253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129226014720).

85280253520 is an abundant number, since it is smaller than the sum of its proper divisors (173171775920).

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

85280253520 is a wasteful number, since it uses less digits than its factorization.

85280253520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 85280253520 in words is "eighty-five billion, two hundred eighty million, two hundred fifty-three thousand, five hundred twenty".