9906059520 has 864 divisors, whose sum is σ = 42090048000. Its totient is φ = 2145927168.

The previous prime is 9906059491. The next prime is 9906059533. The reversal of 9906059520 is 259506099.

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

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, 90881226 + ... + 90881334.

Almost surely, 2^9906059520 is an apocalyptic number.

9906059520 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 9906059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045024000).

9906059520 is an abundant number, since it is smaller than the sum of its proper divisors (32183988480).

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

9906059520 is a wasteful number, since it uses less digits than its factorization.

9906059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 9906059520 is about 99529.1892863596. The cubic root of 9906059520 is about 2147.6671664735.

The spelling of 9906059520 in words is "nine billion, nine hundred six million, fifty-nine thousand, five hundred twenty".