9925924242600 has 960 divisors, whose sum is σ = 37758802329600. Its totient is φ = 2407309632000.

The previous prime is 9925924242571. The next prime is 9925924242623. The reversal of 9925924242600 is 62424295299.

9925924242600 is a `hidden beast` number, since 9 + 9 + 2 + 5 + 9 + 2 + 4 + 24 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1211804505 + ... + 1211812695.

It is an arithmetic number, because the mean of its divisors is an integer number (39332085760).

Almost surely, 2^{9925924242600} is an apocalyptic number.

9925924242600 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 9925924242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879401164800).

9925924242600 is an abundant number, since it is smaller than the sum of its proper divisors (27832878087000).

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

9925924242600 is a wasteful number, since it uses less digits than its factorization.

9925924242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 9925924242600 in words is "nine trillion, nine hundred twenty-five billion, nine hundred twenty-four million, two hundred forty-two thousand, six hundred".