25309990056960 has 2112 divisors, whose sum is σ = 110066842828800. Its totient is φ = 5247369216000.

The previous prime is 25309990056931. The next prime is 25309990057013. The reversal of 25309990056960 is 6965009990352.

25309990056960 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 9 + 9 + 9 + 0 + 0 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19188771181 + ... + 19188772499.

It is an arithmetic number, because the mean of its divisors is an integer number (52114982400).

Almost surely, 2^{25309990056960} is an apocalyptic number.

25309990056960 is a gapful number since it is divisible by the number (20) 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 25309990056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55033421414400).

25309990056960 is an abundant number, since it is smaller than the sum of its proper divisors (84756852771840).

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

25309990056960 is a wasteful number, since it uses less digits than its factorization.

25309990056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 25309990056960 in words is "twenty-five trillion, three hundred nine billion, nine hundred ninety million, fifty-six thousand, nine hundred sixty".