25922180874240 has 2304 divisors, whose sum is σ = 111969370275840. Its totient is φ = 5564918661120.

The previous prime is 25922180874217. The next prime is 25922180874251. The reversal of 25922180874240 is 4247808122952.

25922180874240 is a `hidden beast` number, since 2 + 592 + 2 + 1 + 8 + 0 + 8 + 7 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×25922180874240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 165109432242 + ... + 165109432398.

It is an arithmetic number, because the mean of its divisors is an integer number (48597816960).

Almost surely, 2^{25922180874240} is an apocalyptic number.

25922180874240 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 25922180874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55984685137920).

25922180874240 is an abundant number, since it is smaller than the sum of its proper divisors (86047189401600).

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

25922180874240 is an equidigital number, since it uses as much as digits as its factorization.

25922180874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 25922180874240 in words is "twenty-five trillion, nine hundred twenty-two billion, one hundred eighty million, eight hundred seventy-four thousand, two hundred forty".