26799538960800 has 432 divisors, whose sum is σ = 98413691620608. Its totient is φ = 6854799974400.

The previous prime is 26799538960751. The next prime is 26799538960801. The reversal of 26799538960800 is 806983599762.

26799538960800 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 9 + 5 + 3 + 8 + 9 + 608 + 0 + 0 = 666.

It is a super-2 number, since 2×26799538960800² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (26799538960801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24690319 + ... + 25752881.

It is an arithmetic number, because the mean of its divisors is an integer number (227809471344).

Almost surely, 2^{26799538960800} is an apocalyptic number.

26799538960800 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 26799538960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49206845810304).

26799538960800 is an abundant number, since it is smaller than the sum of its proper divisors (71614152659808).

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

26799538960800 is a wasteful number, since it uses less digits than its factorization.

26799538960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062733 (or 1062717 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 26799538960800 in words is "twenty-six trillion, seven hundred ninety-nine billion, five hundred thirty-eight million, nine hundred sixty thousand, eight hundred".