26738875378800 has 360 divisors, whose sum is σ = 99937497243584. Its totient is φ = 6581325219840.

The previous prime is 26738875378769. The next prime is 26738875378819. The reversal of 26738875378800 is 887357883762.

26738875378800 is a `hidden beast` number, since 2 + 6 + 7 + 3 + 8 + 8 + 7 + 537 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1050506874 + ... + 1050532326.

Almost surely, 2^{26738875378800} is an apocalyptic number.

26738875378800 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 26738875378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49968748621792).

26738875378800 is an abundant number, since it is smaller than the sum of its proper divisors (73198621864784).

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

26738875378800 is a wasteful number, since it uses less digits than its factorization.

26738875378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47937 (or 47923 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 26738875378800 in words is "twenty-six trillion, seven hundred thirty-eight billion, eight hundred seventy-five million, three hundred seventy-eight thousand, eight hundred".