25915622008320 has 2240 divisors, whose sum is σ = 105953635104768. Its totient is φ = 6019743744000.

The previous prime is 25915622008307. The next prime is 25915622008369. The reversal of 25915622008320 is 2380022651952.

25915622008320 is a `hidden beast` number, since 2 + 5 + 9 + 1 + 562 + 2 + 0 + 0 + 83 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 122822853015 + ... + 122822853225.

Almost surely, 2^{25915622008320} is an apocalyptic number.

25915622008320 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 25915622008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52976817552384).

25915622008320 is an abundant number, since it is smaller than the sum of its proper divisors (80038013096448).

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

25915622008320 is a wasteful number, since it uses less digits than its factorization.

25915622008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25915622008320 in words is "twenty-five trillion, nine hundred fifteen billion, six hundred twenty-two million, eight thousand, three hundred twenty".