98737430400 has 1728 divisors, whose sum is σ = 441616556160. Its totient is φ = 20901888000.

The previous prime is 98737430357. The next prime is 98737430401. The reversal of 98737430400 is 403473789.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98737430401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1618646370 + ... + 1618646430.

Almost surely, 2^98737430400 is an apocalyptic number.

98737430400 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 98737430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220808278080).

98737430400 is an abundant number, since it is smaller than the sum of its proper divisors (342879125760).

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

98737430400 is a wasteful number, since it uses less digits than its factorization.

98737430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 98737430400 in words is "ninety-eight billion, seven hundred thirty-seven million, four hundred thirty thousand, four hundred".