26549055128400 has 720 divisors, whose sum is σ = 108362070008640. Its totient is φ = 5514442752000.

The previous prime is 26549055128359. The next prime is 26549055128413. The reversal of 26549055128400 is 482155094562.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28530475 + ... + 29446325.

It is an arithmetic number, because the mean of its divisors is an integer number (150502875012).

Almost surely, 2^{26549055128400} is an apocalyptic number.

26549055128400 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 26549055128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54181035004320).

26549055128400 is an abundant number, since it is smaller than the sum of its proper divisors (81813014880240).

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

26549055128400 is a wasteful number, since it uses less digits than its factorization.

26549055128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915932 (or 915914 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 26549055128400 in words is "twenty-six trillion, five hundred forty-nine billion, fifty-five million, one hundred twenty-eight thousand, four hundred".