98791488000 has 1600 divisors, whose sum is σ = 417099196800. Its totient is φ = 23091609600.

The previous prime is 98791487987. The next prime is 98791488023. The reversal of 98791488000 is 88419789.

98791488000 is a `hidden beast` number, since 98 + 79 + 1 + 488 + 0 + 0 + 0 = 666.

98791488000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

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 159 ways as a sum of consecutive naturals, for example, 1674431971 + ... + 1674432029.

It is an arithmetic number, because the mean of its divisors is an integer number (260686998).

Almost surely, 2^98791488000 is an apocalyptic number.

98791488000 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 98791488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208549598400).

98791488000 is an abundant number, since it is smaller than the sum of its proper divisors (318307708800).

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

98791488000 is a wasteful number, since it uses less digits than its factorization.

98791488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 98791488000 in words is "ninety-eight billion, seven hundred ninety-one million, four hundred eighty-eight thousand".