9957972220416 has 960 divisors, whose sum is σ = 33295132975104. Its totient is φ = 2836928102400.

The previous prime is 9957972220397. The next prime is 9957972220423. The reversal of 9957972220416 is 6140222797599.

9957972220416 is a `hidden beast` number, since 9 + 9 + 579 + 7 + 22 + 20 + 4 + 16 = 666.

It is a super-3 number, since 3×9957972220416³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19797161221 + ... + 19797161723.

Almost surely, 2^{9957972220416} is an apocalyptic number.

9957972220416 is a gapful number since it is divisible by the number (96) 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 9957972220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647566487552).

9957972220416 is an abundant number, since it is smaller than the sum of its proper divisors (23337160754688).

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

9957972220416 is a wasteful number, since it uses less digits than its factorization.

9957972220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 9957972220416 in words is "nine trillion, nine hundred fifty-seven billion, nine hundred seventy-two million, two hundred twenty thousand, four hundred sixteen".