98954906937600 has 864 divisors, whose sum is σ = 376575759831040. Its totient is φ = 22416113664000.

The previous prime is 98954906937599. The next prime is 98954906937617. The reversal of 98954906937600 is 673960945989.

98954906937600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×98954906937600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6834367161 + ... + 6834381639.

Almost surely, 2^{98954906937600} 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 98954906937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188287879915520).

98954906937600 is an abundant number, since it is smaller than the sum of its proper divisors (277620852893440).

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

98954906937600 is a wasteful number, since it uses less digits than its factorization.

98954906937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14967 (or 14948 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 75.

The spelling of 98954906937600 in words is "ninety-eight trillion, nine hundred fifty-four billion, nine hundred six million, nine hundred thirty-seven thousand, six hundred".