98695913260032 has 1408 divisors, whose sum is σ = 348341887488000. Its totient is φ = 27278038794240.

The previous prime is 98695913259919. The next prime is 98695913260073. The reversal of 98695913260032 is 23006231959689.

98695913260032 is a `hidden beast` number, since 9 + 8 + 6 + 9 + 5 + 9 + 13 + 2 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20738790069 + ... + 20738794827.

Almost surely, 2^{98695913260032} 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 98695913260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174170943744000).

98695913260032 is an abundant number, since it is smaller than the sum of its proper divisors (249645974227968).

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

98695913260032 is a wasteful number, since it uses less digits than its factorization.

98695913260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 98695913260032 in words is "ninety-eight trillion, six hundred ninety-five billion, nine hundred thirteen million, two hundred sixty thousand, thirty-two".