98940873600 has 384 divisors, whose sum is σ = 381160128000. Its totient is φ = 24995174400.

The previous prime is 98940873541. The next prime is 98940873611. The reversal of 98940873600 is 637804989.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1611465 + ... + 1671735.

It is an arithmetic number, because the mean of its divisors is an integer number (992604500).

Almost surely, 2^98940873600 is an apocalyptic number.

98940873600 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 98940873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190580064000).

98940873600 is an abundant number, since it is smaller than the sum of its proper divisors (282219254400).

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

98940873600 is a wasteful number, since it uses less digits than its factorization.

98940873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60323 (or 60300 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 98940873600 in words is "ninety-eight billion, nine hundred forty million, eight hundred seventy-three thousand, six hundred".