98802478080 has 616 divisors, whose sum is σ = 360198832032. Its totient is φ = 25990004736.

The previous prime is 98802478031. The next prime is 98802478123. The reversal of 98802478080 is 8087420889.

98802478080 is a `hidden beast` number, since 98 + 8 + 0 + 2 + 478 + 0 + 80 = 666.

It is a super-3 number, since 3×98802478080³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 384445312 + ... + 384445568.

Almost surely, 2^98802478080 is an apocalyptic number.

98802478080 is a gapful number since it is divisible by the number (90) 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 98802478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180099416016).

98802478080 is an abundant number, since it is smaller than the sum of its proper divisors (261396353952).

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

98802478080 is a wasteful number, since it uses less digits than its factorization.

98802478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 98802478080 in words is "ninety-eight billion, eight hundred two million, four hundred seventy-eight thousand, eighty".