98742758400 has 1848 divisors, whose sum is σ = 442784670384. Its totient is φ = 21499084800.

The previous prime is 98742758399. The next prime is 98742758447. The reversal of 98742758400 is 485724789.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2668723182 + ... + 2668723218.

Almost surely, 2^98742758400 is an apocalyptic number.

98742758400 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 98742758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221392335192).

98742758400 is an abundant number, since it is smaller than the sum of its proper divisors (344041911984).

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

98742758400 is a wasteful number, since it uses less digits than its factorization.

98742758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 98742758400 in words is "ninety-eight billion, seven hundred forty-two million, seven hundred fifty-eight thousand, four hundred".