9961560000 has 840 divisors, whose sum is σ = 42087027840. Its totient is φ = 2204928000.

The previous prime is 9961559999. The next prime is 9961560013. The reversal of 9961560000 is 651699.

9961560000 is a `hidden beast` number, since 9 + 96 + 1 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148679967 + ... + 148680033.

Almost surely, 2^9961560000 is an apocalyptic number.

9961560000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9961560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043513920).

9961560000 is an abundant number, since it is smaller than the sum of its proper divisors (32125467840).

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

9961560000 is a wasteful number, since it uses less digits than its factorization.

9961560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9961560000 is about 99807.6149399433. The cubic root of 9961560000 is about 2151.6705962924.

The spelling of 9961560000 in words is "nine billion, nine hundred sixty-one million, five hundred sixty thousand".