98961007600 has 360 divisors, whose sum is σ = 302775704448. Its totient is φ = 30801254400.

The previous prime is 98961007531. The next prime is 98961007601. The reversal of 98961007600 is 670016989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98961007601) 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, 15539617 + ... + 15545983.

Almost surely, 2^98961007600 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 98961007600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151387852224).

98961007600 is an abundant number, since it is smaller than the sum of its proper divisors (203814696848).

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

98961007600 is a wasteful number, since it uses less digits than its factorization.

98961007600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 98961007600 in words is "ninety-eight billion, nine hundred sixty-one million, seven thousand, six hundred".