98668758092800 has 528 divisors, whose sum is σ = 294834664730880. Its totient is φ = 31982985216000.

The previous prime is 98668758092777. The next prime is 98668758092833. The reversal of 98668758092800 is 829085786689.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671727290 + ... + 1671786310.

Almost surely, 2^{98668758092800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98668758092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147417332365440).

98668758092800 is an abundant number, since it is smaller than the sum of its proper divisors (196165906638080).

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

98668758092800 is a wasteful number, since it uses less digits than its factorization.

98668758092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59568 (or 59545 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 76.

The spelling of 98668758092800 in words is "ninety-eight trillion, six hundred sixty-eight billion, seven hundred fifty-eight million, ninety-two thousand, eight hundred".