9925301520 has 320 divisors, whose sum is σ = 35097753600. Its totient is φ = 2577070080.

The previous prime is 9925301497. The next prime is 9925301557. The reversal of 9925301520 is 251035299.

It is a happy number.

9925301520 is a `hidden beast` number, since 9 + 92 + 530 + 15 + 20 = 666.

It is a super-2 number, since 2×9925301520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20720641 + ... + 20721119.

It is an arithmetic number, because the mean of its divisors is an integer number (109680480).

Almost surely, 2^9925301520 is an apocalyptic number.

9925301520 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 9925301520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

9925301520 is an abundant number, since it is smaller than the sum of its proper divisors (25172452080).

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

9925301520 is a wasteful number, since it uses less digits than its factorization.

9925301520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 9925301520 is about 99625.8074998642. The cubic root of 9925301520 is about 2149.0568439361.

The spelling of 9925301520 in words is "nine billion, nine hundred twenty-five million, three hundred one thousand, five hundred twenty".