9937861570560 has 936 divisors, whose sum is σ = 40658454739728. Its totient is φ = 2064934502400.

The previous prime is 9937861570543. The next prime is 9937861570591. The reversal of 9937861570560 is 650751687399.

It is a super-2 number, since 2×9937861570560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 9937861570491 and 9937861570500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 364264120 + ... + 364291400.

Almost surely, 2^{9937861570560} 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 9937861570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20329227369864).

9937861570560 is an abundant number, since it is smaller than the sum of its proper divisors (30720593169168).

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

9937861570560 is a wasteful number, since it uses less digits than its factorization.

9937861570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27349 (or 27309 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 66.

The spelling of 9937861570560 in words is "nine trillion, nine hundred thirty-seven billion, eight hundred sixty-one million, five hundred seventy thousand, five hundred sixty".