25291792304640 has 1600 divisors, whose sum is σ = 97448917370112. Its totient is φ = 6253844889600.

The previous prime is 25291792304627. The next prime is 25291792304651. The reversal of 25291792304640 is 4640329719252.

It is a happy number.

25291792304640 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 179 + 2 + 3 + 0 + 464 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 41259040974 + ... + 41259041586.

Almost surely, 2^{25291792304640} is an apocalyptic number.

25291792304640 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 25291792304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48724458685056).

25291792304640 is an abundant number, since it is smaller than the sum of its proper divisors (72157125065472).

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

25291792304640 is a wasteful number, since it uses less digits than its factorization.

25291792304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 25291792304640 in words is "twenty-five trillion, two hundred ninety-one billion, seven hundred ninety-two million, three hundred four thousand, six hundred forty".