25660266993816 has 512 divisors, whose sum is σ = 81408735313920. Its totient is φ = 6560144640000.

The previous prime is 25660266993793. The next prime is 25660266993827. The reversal of 25660266993816 is 61839966206652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9790256986 + ... + 9790259606.

It is an arithmetic number, because the mean of its divisors is an integer number (159001436160).

Almost surely, 2^{25660266993816} is an apocalyptic number.

25660266993816 is a gapful number since it is divisible by the number (26) 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 25660266993816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40704367656960).

25660266993816 is an abundant number, since it is smaller than the sum of its proper divisors (55748468320104).

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

25660266993816 is a wasteful number, since it uses less digits than its factorization.

25660266993816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 69.

The spelling of 25660266993816 in words is "twenty-five trillion, six hundred sixty billion, two hundred sixty-six million, nine hundred ninety-three thousand, eight hundred sixteen".