9906570535680 has 576 divisors, whose sum is σ = 43267172229120. Its totient is φ = 2090176856064.

The previous prime is 9906570535657. The next prime is 9906570535691. The reversal of 9906570535680 is 865350756099.

9906570535680 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 570 + 5 + 3 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1569969 + ... + 4719951.

Almost surely, 2^{9906570535680} is an apocalyptic number.

9906570535680 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 9906570535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633586114560).

9906570535680 is an abundant number, since it is smaller than the sum of its proper divisors (33360601693440).

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

9906570535680 is a wasteful number, since it uses less digits than its factorization.

9906570535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150033 (or 3150013 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 9906570535680 in words is "nine trillion, nine hundred six billion, five hundred seventy million, five hundred thirty-five thousand, six hundred eighty".