98700094080 has 1280 divisors, whose sum is σ = 425473171200. Its totient is φ = 21329215488.

The previous prime is 98700094063. The next prime is 98700094133. The reversal of 98700094080 is 8049000789.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 873452104 + ... + 873452216.

It is an arithmetic number, because the mean of its divisors is an integer number (332400915).

Almost surely, 2^98700094080 is an apocalyptic number.

98700094080 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 98700094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212736585600).

98700094080 is an abundant number, since it is smaller than the sum of its proper divisors (326773077120).

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

98700094080 is a wasteful number, since it uses less digits than its factorization.

98700094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 98700094080 in words is "ninety-eight billion, seven hundred million, ninety-four thousand, eighty".