98661888000 has 1248 divisors, whose sum is σ = 403722201792. Its totient is φ = 23887872000.

The previous prime is 98661887999. The next prime is 98661888011. The reversal of 98661888000 is 88816689.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1617407970 + ... + 1617408030.

It is an arithmetic number, because the mean of its divisors is an integer number (323495354).

Almost surely, 2^98661888000 is an apocalyptic number.

98661888000 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 98661888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201861100896).

98661888000 is an abundant number, since it is smaller than the sum of its proper divisors (305060313792).

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

98661888000 is an equidigital number, since it uses as much as digits as its factorization.

98661888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 98661888000 in words is "ninety-eight billion, six hundred sixty-one million, eight hundred eighty-eight thousand".