9970778972160 has 896 divisors, whose sum is σ = 38521492070400. Its totient is φ = 2437518458880.

The previous prime is 9970778972093. The next prime is 9970778972173. The reversal of 9970778972160 is 612798770799.

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

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, 651379227 + ... + 651394533.

Almost surely, 2^{9970778972160} is an apocalyptic number.

9970778972160 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 9970778972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260746035200).

9970778972160 is an abundant number, since it is smaller than the sum of its proper divisors (28550713098240).

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

9970778972160 is a wasteful number, since it uses less digits than its factorization.

9970778972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15397 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 168031584, while the sum is 72.

The spelling of 9970778972160 in words is "nine trillion, nine hundred seventy billion, seven hundred seventy-eight million, nine hundred seventy-two thousand, one hundred sixty".