26156274636800 has 1728 divisors, whose sum is σ = 88025166028800. Its totient is φ = 7595281612800.

The previous prime is 26156274636797. The next prime is 26156274636827. The reversal of 26156274636800 is 863647265162.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59581490981 + ... + 59581491419.

It is an arithmetic number, because the mean of its divisors is an integer number (50940489600).

Almost surely, 2^{26156274636800} is an apocalyptic number.

26156274636800 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 26156274636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44012583014400).

26156274636800 is an abundant number, since it is smaller than the sum of its proper divisors (61868891392000).

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

26156274636800 is a wasteful number, since it uses less digits than its factorization.

26156274636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 26156274636800 in words is "twenty-six trillion, one hundred fifty-six billion, two hundred seventy-four million, six hundred thirty-six thousand, eight hundred".