25611336131040 has 576 divisors, whose sum is σ = 98699694912000. Its totient is φ = 5990582169600.

The previous prime is 25611336130987. The next prime is 25611336131047. The reversal of 25611336131040 is 4013163311652.

25611336131040 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 1 + 33 + 613 + 1 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×25611336131040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25611336130986 and 25611336131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25611336131047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694074511 + ... + 694111409.

It is an arithmetic number, because the mean of its divisors is an integer number (171353637000).

Almost surely, 2^{25611336131040} is an apocalyptic number.

25611336131040 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 25611336131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49349847456000).

25611336131040 is an abundant number, since it is smaller than the sum of its proper divisors (73088358780960).

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

25611336131040 is a wasteful number, since it uses less digits than its factorization.

25611336131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38471 (or 38460 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 25611336131040 its reverse (4013163311652), we get a palindrome (29624499442692).

The spelling of 25611336131040 in words is "twenty-five trillion, six hundred eleven billion, three hundred thirty-six million, one hundred thirty-one thousand, forty".