98940518400 has 384 divisors, whose sum is σ = 330774543360. Its totient is φ = 26093813760.

The previous prime is 98940518353. The next prime is 98940518407. The reversal of 98940518400 is 481504989.

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

It is a super-3 number, since 3×98940518400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98940518400.

It is not an unprimeable number, because it can be changed into a prime (98940518407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312115042 + ... + 312115358.

It is an arithmetic number, because the mean of its divisors is an integer number (861392040).

Almost surely, 2^98940518400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98940518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165387271680).

98940518400 is an abundant number, since it is smaller than the sum of its proper divisors (231834024960).

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

98940518400 is a wasteful number, since it uses less digits than its factorization.

98940518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 98940518400 in words is "ninety-eight billion, nine hundred forty million, five hundred eighteen thousand, four hundred".