9999997560 has 320 divisors, whose sum is σ = 38578129920. Its totient is φ = 2275879680.

The previous prime is 9999997549. The next prime is 9999997561. The reversal of 9999997560 is 657999999.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999997561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6145467 + ... + 6147093.

It is an arithmetic number, because the mean of its divisors is an integer number (120556656).

Almost surely, 2^9999997560 is an apocalyptic number.

9999997560 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 9999997560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289064960).

9999997560 is an abundant number, since it is smaller than the sum of its proper divisors (28578132360).

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

9999997560 is a wasteful number, since it uses less digits than its factorization.

9999997560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 111602610, while the sum is 72.

The square root of 9999997560 is about 99999.9877999993. The cubic root of 9999997560 is about 2154.4345148045.

The spelling of 9999997560 in words is "nine billion, nine hundred ninety-nine million, nine hundred ninety-seven thousand, five hundred sixty".