25796764517760 has 512 divisors, whose sum is σ = 91953601228800. Its totient is φ = 6834801475584.

The previous prime is 25796764517717. The next prime is 25796764517767. The reversal of 25796764517760 is 6771546769752.

25796764517760 is a `hidden beast` number, since 2 + 57 + 9 + 67 + 6 + 451 + 7 + 7 + 60 = 666.

It is a super-2 number, since 2×25796764517760² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25796764517767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2878135039 + ... + 2878144001.

It is an arithmetic number, because the mean of its divisors is an integer number (179596877400).

Almost surely, 2^{25796764517760} is an apocalyptic number.

25796764517760 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 25796764517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45976800614400).

25796764517760 is an abundant number, since it is smaller than the sum of its proper divisors (66156836711040).

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

25796764517760 is a wasteful number, since it uses less digits than its factorization.

25796764517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 933508800, while the sum is 72.

The spelling of 25796764517760 in words is "twenty-five trillion, seven hundred ninety-six billion, seven hundred sixty-four million, five hundred seventeen thousand, seven hundred sixty".