98876808576 has 384 divisors, whose sum is σ = 350921975040. Its totient is φ = 26022850560.

The previous prime is 98876808559. The next prime is 98876808577. The reversal of 98876808576 is 67580867889.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98876808577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85018171 + ... + 85019333.

It is an arithmetic number, because the mean of its divisors is an integer number (913859310).

Almost surely, 2^98876808576 is an apocalyptic number.

98876808576 is a gapful number since it is divisible by the number (96) 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 98876808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175460987520).

98876808576 is an abundant number, since it is smaller than the sum of its proper divisors (252045166464).

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

98876808576 is a wasteful number, since it uses less digits than its factorization.

98876808576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 98876808576 in words is "ninety-eight billion, eight hundred seventy-six million, eight hundred eight thousand, five hundred seventy-six".