26798045452800 has 480 divisors, whose sum is σ = 89200055241792. Its totient is φ = 7091917946880.

The previous prime is 26798045452733. The next prime is 26798045452819. The reversal of 26798045452800 is 825454089762.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2733652699 + ... + 2733662501.

Almost surely, 2^{26798045452800} is an apocalyptic number.

26798045452800 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 26798045452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44600027620896).

26798045452800 is an abundant number, since it is smaller than the sum of its proper divisors (62402009788992).

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

26798045452800 is a wasteful number, since it uses less digits than its factorization.

26798045452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 26798045452800 in words is "twenty-six trillion, seven hundred ninety-eight billion, forty-five million, four hundred fifty-two thousand, eight hundred".