98688723840 has 1024 divisors, whose sum is σ = 438994944000. Its totient is φ = 20430102528.

The previous prime is 98688723839. The next prime is 98688723853. The reversal of 98688723840 is 4832788689.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52858587 + ... + 52860453.

It is an arithmetic number, because the mean of its divisors is an integer number (428706000).

Almost surely, 2^98688723840 is an apocalyptic number.

98688723840 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 98688723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219497472000).

98688723840 is an abundant number, since it is smaller than the sum of its proper divisors (340306220160).

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

98688723840 is a wasteful number, since it uses less digits than its factorization.

98688723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 98688723840 in words is "ninety-eight billion, six hundred eighty-eight million, seven hundred twenty-three thousand, eight hundred forty".