25768420436640 has 576 divisors, whose sum is σ = 100175317401600. Its totient is φ = 5535979997184.

The previous prime is 25768420436609. The next prime is 25768420436657. The reversal of 25768420436640 is 4663402486752.

It is a super-2 number, since 2×25768420436640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56526741 + ... + 56980779.

It is an arithmetic number, because the mean of its divisors is an integer number (173915481600).

Almost surely, 2^{25768420436640} is an apocalyptic number.

25768420436640 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 25768420436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50087658700800).

25768420436640 is an abundant number, since it is smaller than the sum of its proper divisors (74406896964960).

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

25768420436640 is a wasteful number, since it uses less digits than its factorization.

25768420436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454217 (or 454202 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 25768420436640 in words is "twenty-five trillion, seven hundred sixty-eight billion, four hundred twenty million, four hundred thirty-six thousand, six hundred forty".