98792038800 has 1920 divisors, whose sum is σ = 470239902720. Its totient is φ = 19349176320.

The previous prime is 98792038799. The next prime is 98792038847. The reversal of 98792038800 is 883029789.

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 383 ways as a sum of consecutive naturals, for example, 1353315564 + ... + 1353315636.

It is an arithmetic number, because the mean of its divisors is an integer number (244916616).

Almost surely, 2^98792038800 is an apocalyptic number.

98792038800 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 98792038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235119951360).

98792038800 is an abundant number, since it is smaller than the sum of its proper divisors (371447863920).

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

98792038800 is a wasteful number, since it uses less digits than its factorization.

98792038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 98792038800 in words is "ninety-eight billion, seven hundred ninety-two million, thirty-eight thousand, eight hundred".