25753820682060 has 144 divisors (see below), whose sum is σ = 80875851114240. Its totient is φ = 6625770278400.

The previous prime is 25753820682059. The next prime is 25753820682071. The reversal of 25753820682060 is 6028602835752.

It is a happy number.

25753820682060 is a `hidden beast` number, since 2 + 5 + 7 + 538 + 20 + 6 + 8 + 20 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25753820681988 and 25753820682006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4895109 + ... + 8687331.

It is an arithmetic number, because the mean of its divisors is an integer number (561637854960).

Almost surely, 2^{25753820682060} is an apocalyptic number.

25753820682060 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 25753820682060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40437925557120).

25753820682060 is an abundant number, since it is smaller than the sum of its proper divisors (55122030432180).

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

25753820682060 is a wasteful number, since it uses less digits than its factorization.

25753820682060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793568 (or 3793563 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 25753820682060 in words is "twenty-five trillion, seven hundred fifty-three billion, eight hundred twenty million, six hundred eighty-two thousand, sixty".