9016920000 has 1050 divisors, whose sum is σ = 38309193384. Its totient is φ = 2090880000.

The previous prime is 9016919993. The next prime is 9016920007. The reversal of 9016920000 is 296109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9016919993) and next prime (9016920007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9016920007) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 392039989 + ... + 392040011.

Almost surely, 2^9016920000 is an apocalyptic number.

9016920000 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 9016920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19154596692).

9016920000 is an abundant number, since it is smaller than the sum of its proper divisors (29292273384).

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

9016920000 is a wasteful number, since it uses less digits than its factorization.

9016920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9016920000 is about 94957.4641615918. The cubic root of 9016920000 is about 2081.3865262278.

The spelling of 9016920000 in words is "nine billion, sixteen million, nine hundred twenty thousand".