25940432632320 has 800 divisors, whose sum is σ = 95761697644800. Its totient is φ = 6707881672704.

The previous prime is 25940432632313. The next prime is 25940432632363. The reversal of 25940432632320 is 2323623404952.

25940432632320 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 0 + 4 + 3 + 2 + 632 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1062293071 + ... + 1062317489.

It is an arithmetic number, because the mean of its divisors is an integer number (119702122056).

Almost surely, 2^{25940432632320} is an apocalyptic number.

25940432632320 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 25940432632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880848822400).

25940432632320 is an abundant number, since it is smaller than the sum of its proper divisors (69821265012480).

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

25940432632320 is a wasteful number, since it uses less digits than its factorization.

25940432632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610 (or 24585 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 25940432632320 in words is "twenty-five trillion, nine hundred forty billion, four hundred thirty-two million, six hundred thirty-two thousand, three hundred twenty".