9921156480 has 256 divisors, whose sum is σ = 37205438400. Its totient is φ = 2489942016.

The previous prime is 9921156457. The next prime is 9921156503. The reversal of 9921156480 is 846511299.

9921156480 is a `hidden beast` number, since 9 + 9 + 2 + 1 + 1 + 564 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9921156457) and next prime (9921156503).

It is a super-3 number, since 3×9921156480³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276874 + ... + 310646.

Almost surely, 2^9921156480 is an apocalyptic number.

9921156480 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 9921156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602719200).

9921156480 is an abundant number, since it is smaller than the sum of its proper divisors (27284281920).

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

9921156480 is a wasteful number, since it uses less digits than its factorization.

9921156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33818 (or 33800 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9921156480 is about 99605.0022840219. The cubic root of 9921156480 is about 2148.7576366726.

The spelling of 9921156480 in words is "nine billion, nine hundred twenty-one million, one hundred fifty-six thousand, four hundred eighty".