25497792487440 has 1920 divisors, whose sum is σ = 115389277470720. Its totient is φ = 5049728925696.

The previous prime is 25497792487429. The next prime is 25497792487477. The reversal of 25497792487440 is 4478429779452.

25497792487440 is a `hidden beast` number, since 2 + 5 + 4 + 97 + 7 + 92 + 4 + 8 + 7 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26367933837 + ... + 26367934803.

It is an arithmetic number, because the mean of its divisors is an integer number (60098582016).

Almost surely, 2^{25497792487440} is an apocalyptic number.

25497792487440 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 25497792487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57694638735360).

25497792487440 is an abundant number, since it is smaller than the sum of its proper divisors (89891484983280).

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

25497792487440 is a wasteful number, since it uses less digits than its factorization.

25497792487440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 25497792487440 in words is "twenty-five trillion, four hundred ninety-seven billion, seven hundred ninety-two million, four hundred eighty-seven thousand, four hundred forty".