98133742924800 has 792 divisors, whose sum is σ = 357155057467488. Its totient is φ = 23746476441600.

The previous prime is 98133742924759. The next prime is 98133742924801. The reversal of 98133742924800 is 842924733189.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98133742924801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5231837022 + ... + 5231855778.

Almost surely, 2^{98133742924800} 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 98133742924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178577528733744).

98133742924800 is an abundant number, since it is smaller than the sum of its proper divisors (259021314542688).

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

98133742924800 is a wasteful number, since it uses less digits than its factorization.

98133742924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19375 (or 19341 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 98133742924800 in words is "ninety-eight trillion, one hundred thirty-three billion, seven hundred forty-two million, nine hundred twenty-four thousand, eight hundred".