98018726400 has 960 divisors, whose sum is σ = 424761384960. Its totient is φ = 21664972800.

The previous prime is 98018726383. The next prime is 98018726401. The reversal of 98018726400 is 462781089.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (98018726401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74994547 + ... + 74995853.

It is an arithmetic number, because the mean of its divisors is an integer number (442459776).

Almost surely, 2^98018726400 is an apocalyptic number.

98018726400 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 98018726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212380692480).

98018726400 is an abundant number, since it is smaller than the sum of its proper divisors (326742658560).

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

98018726400 is a wasteful number, since it uses less digits than its factorization.

98018726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 98018726400 in words is "ninety-eight billion, eighteen million, seven hundred twenty-six thousand, four hundred".