98591742326400 has 384 divisors, whose sum is σ = 325406880394560. Its totient is φ = 26236905062400.

The previous prime is 98591742326383. The next prime is 98591742326417. The reversal of 98591742326400 is 462324719589.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98591742326383) and next prime (98591742326417).

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

It is a super-3 number, since 3×98591742326400³ (a number of 43 digits) contains 333 as substring.

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

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, 21826816942 + ... + 21826821458.

It is a 2-persistent number, because it is pandigital, and so is 2⋅98591742326400 = 197183484652800, but 3⋅98591742326400 = 295775226979200 is not.

Almost surely, 2^{98591742326400} 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 98591742326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162703440197280).

98591742326400 is an abundant number, since it is smaller than the sum of its proper divisors (226815138068160).

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

98591742326400 is a wasteful number, since it uses less digits than its factorization.

98591742326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8715 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 98591742326400 in words is "ninety-eight trillion, five hundred ninety-one billion, seven hundred forty-two million, three hundred twenty-six thousand, four hundred".