9925492725624 has 512 divisors, whose sum is σ = 31376712407040. Its totient is φ = 2551755571200.

The previous prime is 9925492725611. The next prime is 9925492725647. The reversal of 9925492725624 is 4265272945299.

It is a Cunningham number, because it is equal to 3150475²-1.

It is a super-3 number, since 3×9925492725624³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3263889544 + ... + 3263892584.

It is an arithmetic number, because the mean of its divisors is an integer number (61282641420).

Almost surely, 2^{9925492725624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9925492725624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688356203520).

9925492725624 is an abundant number, since it is smaller than the sum of its proper divisors (21451219681416).

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

9925492725624 is a wasteful number, since it uses less digits than its factorization.

9925492725624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3635 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 66.

It can be divided in two parts, 992549 and 2725624, that added together give a palindrome (3718173).

The spelling of 9925492725624 in words is "nine trillion, nine hundred twenty-five billion, four hundred ninety-two million, seven hundred twenty-five thousand, six hundred twenty-four".