26819540073744 has 160 divisors (see below), whose sum is σ = 79754695372800. Its totient is φ = 7686433582080.

The previous prime is 26819540073719. The next prime is 26819540073757. The reversal of 26819540073744 is 44737004591862.

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, 11326264 + ... + 13487895.

It is an arithmetic number, because the mean of its divisors is an integer number (498466846080).

It is a 1-persistent number, because it is pandigital, but 2⋅26819540073744 = 53639080147488 is not.

Almost surely, 2^{26819540073744} is an apocalyptic number.

26819540073744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26819540073744 is an abundant number, since it is smaller than the sum of its proper divisors (52935155299056).

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

26819540073744 is a wasteful number, since it uses less digits than its factorization.

26819540073744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24814293 (or 24814287 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 26819540073744 in words is "twenty-six trillion, eight hundred nineteen billion, five hundred forty million, seventy-three thousand, seven hundred forty-four".