26049512825664 has 224 divisors, whose sum is σ = 72064827850752. Its totient is φ = 8295216384000.

The previous prime is 26049512825627. The next prime is 26049512825761. The reversal of 26049512825664 is 46652821594062.

It is a junction number, because it is equal to n+sod(n) for n = 26049512825598 and 26049512825607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148837534 + ... + 149012450.

Almost surely, 2^{26049512825664} is an apocalyptic number.

26049512825664 is a gapful number since it is divisible by the number (24) 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 26049512825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36032413925376).

26049512825664 is an abundant number, since it is smaller than the sum of its proper divisors (46015315025088).

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

26049512825664 is a wasteful number, since it uses less digits than its factorization.

26049512825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175285 (or 175275 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 26049512825664 in words is "twenty-six trillion, forty-nine billion, five hundred twelve million, eight hundred twenty-five thousand, six hundred sixty-four".