26134165655400 has 384 divisors, whose sum is σ = 90176444588160. Its totient is φ = 6208143360000.

The previous prime is 26134165655393. The next prime is 26134165655413. The reversal of 26134165655400 is 455656143162.

It is a happy number.

It is a super-2 number, since 2×26134165655400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26134165655400.

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 95 ways as a sum of consecutive naturals, for example, 64458112 + ... + 64862288.

It is an arithmetic number, because the mean of its divisors is an integer number (234834491115).

Almost surely, 2^{26134165655400} is an apocalyptic number.

26134165655400 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 26134165655400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45088222294080).

26134165655400 is an abundant number, since it is smaller than the sum of its proper divisors (64042278932760).

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

26134165655400 is a wasteful number, since it uses less digits than its factorization.

26134165655400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404405 (or 404396 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 26134165655400 in words is "twenty-six trillion, one hundred thirty-four billion, one hundred sixty-five million, six hundred fifty-five thousand, four hundred".