9902725560 has 768 divisors, whose sum is σ = 41932800000. Its totient is φ = 2011806720.

The previous prime is 9902725519. The next prime is 9902725589. The reversal of 9902725560 is 655272099.

9902725560 is a `hidden beast` number, since 9 + 90 + 2 + 7 + 2 + 556 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49762341 + ... + 49762539.

It is an arithmetic number, because the mean of its divisors is an integer number (54600000).

Almost surely, 2^9902725560 is an apocalyptic number.

9902725560 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 9902725560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400000).

9902725560 is an abundant number, since it is smaller than the sum of its proper divisors (32030074440).

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

9902725560 is a wasteful number, since it uses less digits than its factorization.

9902725560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9902725560 is about 99512.4392224409. The cubic root of 9902725560 is about 2147.4262015086.

The spelling of 9902725560 in words is "nine billion, nine hundred two million, seven hundred twenty-five thousand, five hundred sixty".