9956014560 has 240 divisors, whose sum is σ = 36271331712. Its totient is φ = 2569190400.

The previous prime is 9956014517. The next prime is 9956014603. The reversal of 9956014560 is 654106599.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9956014517) and next prime (9956014603).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389370 + ... + 414150.

Almost surely, 2^9956014560 is an apocalyptic number.

9956014560 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 9956014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135665856).

9956014560 is an abundant number, since it is smaller than the sum of its proper divisors (26315317152).

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

9956014560 is a wasteful number, since it uses less digits than its factorization.

9956014560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24839 (or 24822 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9956014560 is about 99779.8304267952. The cubic root of 9956014560 is about 2151.2712553931.

The spelling of 9956014560 in words is "nine billion, nine hundred fifty-six million, fourteen thousand, five hundred sixty".