26360493400800 has 576 divisors, whose sum is σ = 105982736670720. Its totient is φ = 6279420672000.

The previous prime is 26360493400789. The next prime is 26360493400873. The reversal of 26360493400800 is 800439406362.

26360493400800 is a `hidden beast` number, since 2 + 6 + 3 + 604 + 9 + 34 + 0 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×26360493400800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7190665 + ... + 10218935.

It is an arithmetic number, because the mean of its divisors is an integer number (183997806720).

Almost surely, 2^{26360493400800} is an apocalyptic number.

26360493400800 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 26360493400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52991368335360).

26360493400800 is an abundant number, since it is smaller than the sum of its proper divisors (79622243269920).

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

26360493400800 is a wasteful number, since it uses less digits than its factorization.

26360493400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028344 (or 3028325 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

It can be divided in two parts, 2636049 and 3400800, that added together give a square (6036849 = 2457²).

The spelling of 26360493400800 in words is "twenty-six trillion, three hundred sixty billion, four hundred ninety-three million, four hundred thousand, eight hundred".