9959051520 has 1152 divisors, whose sum is σ = 43232071680. Its totient is φ = 2141061120.

The previous prime is 9959051519. The next prime is 9959051561. The reversal of 9959051520 is 251509599.

9959051520 is a `hidden beast` number, since 9 + 9 + 590 + 5 + 1 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148642527 + ... + 148642593.

It is an arithmetic number, because the mean of its divisors is an integer number (37527840).

Almost surely, 2^9959051520 is an apocalyptic number.

9959051520 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 9959051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21616035840).

9959051520 is an abundant number, since it is smaller than the sum of its proper divisors (33273020160).

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

9959051520 is a wasteful number, since it uses less digits than its factorization.

9959051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The square root of 9959051520 is about 99795.0475725123. The cubic root of 9959051520 is about 2151.4899727832.

The spelling of 9959051520 in words is "nine billion, nine hundred fifty-nine million, fifty-one thousand, five hundred twenty".