25740495360 has 640 divisors, whose sum is σ = 97013790720. Its totient is φ = 6458572800.

The previous prime is 25740495301. The next prime is 25740495421. The reversal of 25740495360 is 6359404752.

25740495360 is a `hidden beast` number, since 2 + 5 + 74 + 0 + 49 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 87851374 + ... + 87851666.

It is an arithmetic number, because the mean of its divisors is an integer number (151584048).

Almost surely, 2^25740495360 is an apocalyptic number.

25740495360 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 25740495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48506895360).

25740495360 is an abundant number, since it is smaller than the sum of its proper divisors (71273295360).

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

25740495360 is a wasteful number, since it uses less digits than its factorization.

25740495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 25740495360 in words is "twenty-five billion, seven hundred forty million, four hundred ninety-five thousand, three hundred sixty".