98107840800 has 216 divisors, whose sum is σ = 348247710720. Its totient is φ = 25988544000.

The previous prime is 98107840793. The next prime is 98107840807. The reversal of 98107840800 is 804870189.

It is an interprime number because it is at equal distance from previous prime (98107840793) and next prime (98107840807).

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 (98107840807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1042081 + ... + 1132319.

It is an arithmetic number, because the mean of its divisors is an integer number (1612257920).

Almost surely, 2^98107840800 is an apocalyptic number.

98107840800 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 98107840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174123855360).

98107840800 is an abundant number, since it is smaller than the sum of its proper divisors (250139869920).

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

98107840800 is a wasteful number, since it uses less digits than its factorization.

98107840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90416 (or 90400 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 98107840800 in words is "ninety-eight billion, one hundred seven million, eight hundred forty thousand, eight hundred".