84888256960 has 224 divisors, whose sum is σ = 233101774080. Its totient is φ = 29166010368.

The previous prime is 84888256951. The next prime is 84888256961. The reversal of 84888256960 is 6965288848.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 84888256892 and 84888256901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84888256961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6287337 + ... + 6300823.

It is an arithmetic number, because the mean of its divisors is an integer number (1040632920).

Almost surely, 2^84888256960 is an apocalyptic number.

84888256960 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 84888256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116550887040).

84888256960 is an abundant number, since it is smaller than the sum of its proper divisors (148213517120).

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

84888256960 is a wasteful number, since it uses less digits than its factorization.

84888256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13623 (or 13613 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 64.

The spelling of 84888256960 in words is "eighty-four billion, eight hundred eighty-eight million, two hundred fifty-six thousand, nine hundred sixty".