25290793906560 has 2304 divisors, whose sum is σ = 111318488386560. Its totient is φ = 5151404556288.

The previous prime is 25290793906549. The next prime is 25290793906577. The reversal of 25290793906560 is 6560939709252.

25290793906560 is a `hidden beast` number, since 2 + 529 + 0 + 79 + 39 + 0 + 6 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×25290793906560² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151441879597 + ... + 151441879763.

It is an arithmetic number, because the mean of its divisors is an integer number (48315316140).

Almost surely, 2^{25290793906560} is an apocalyptic number.

25290793906560 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 25290793906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55659244193280).

25290793906560 is an abundant number, since it is smaller than the sum of its proper divisors (86027694480000).

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

25290793906560 is a wasteful number, since it uses less digits than its factorization.

25290793906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 25290793906560 in words is "twenty-five trillion, two hundred ninety billion, seven hundred ninety-three million, nine hundred six thousand, five hundred sixty".