25740818989560 has 320 divisors, whose sum is σ = 87236838025920. Its totient is φ = 6807336007680.

The previous prime is 25740818989559. The next prime is 25740818989603. The reversal of 25740818989560 is 6598981804752.

25740818989560 is a `hidden beast` number, since 2 + 5 + 7 + 40 + 8 + 18 + 9 + 8 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 264973717 + ... + 265070843.

It is an arithmetic number, because the mean of its divisors is an integer number (272615118831).

Almost surely, 2^{25740818989560} is an apocalyptic number.

25740818989560 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 25740818989560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43618419012960).

25740818989560 is an abundant number, since it is smaller than the sum of its proper divisors (61496019036360).

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

25740818989560 is a wasteful number, since it uses less digits than its factorization.

25740818989560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97828 (or 97815 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 25740818989560 in words is "twenty-five trillion, seven hundred forty billion, eight hundred eighteen million, nine hundred eighty-nine thousand, five hundred sixty".