9925811280 has 960 divisors, whose sum is σ = 45497088000. Its totient is φ = 1948354560.

The previous prime is 9925811243. The next prime is 9925811297. The reversal of 9925811280 is 821185299.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28440546 + ... + 28440894.

It is an arithmetic number, because the mean of its divisors is an integer number (47392800).

Almost surely, 2^9925811280 is an apocalyptic number.

9925811280 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 9925811280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544000).

9925811280 is an abundant number, since it is smaller than the sum of its proper divisors (35571276720).

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

9925811280 is a wasteful number, since it uses less digits than its factorization.

9925811280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 9925811280 is about 99628.3658402566. The cubic root of 9925811280 is about 2149.0936349078.

The spelling of 9925811280 in words is "nine billion, nine hundred twenty-five million, eight hundred eleven thousand, two hundred eighty".