98373290400 has 1728 divisors, whose sum is σ = 472119782400. Its totient is φ = 19296921600.

The previous prime is 98373290387. The next prime is 98373290417. The reversal of 98373290400 is 409237389.

It is a happy number.

98373290400 is a `hidden beast` number, since 98 + 3 + 73 + 2 + 90 + 400 = 666.

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 287 ways as a sum of consecutive naturals, for example, 347608659 + ... + 347608941.

Almost surely, 2^98373290400 is an apocalyptic number.

98373290400 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 98373290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236059891200).

98373290400 is an abundant number, since it is smaller than the sum of its proper divisors (373746492000).

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

98373290400 is a wasteful number, since it uses less digits than its factorization.

98373290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 98373290400 in words is "ninety-eight billion, three hundred seventy-three million, two hundred ninety thousand, four hundred".