26779580824640 has 448 divisors, whose sum is σ = 75254929804800. Its totient is φ = 8885035597824.

The previous prime is 26779580824627. The next prime is 26779580824691. The reversal of 26779580824640 is 4642808597762.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×26779580824640² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21789731546 + ... + 21789732774.

Almost surely, 2^{26779580824640} is an apocalyptic number.

26779580824640 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 26779580824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37627464902400).

26779580824640 is an abundant number, since it is smaller than the sum of its proper divisors (48475348980160).

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

26779580824640 is a wasteful number, since it uses less digits than its factorization.

26779580824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 68.

The spelling of 26779580824640 in words is "twenty-six trillion, seven hundred seventy-nine billion, five hundred eighty million, eight hundred twenty-four thousand, six hundred forty".