26778497673600 has 2304 divisors, whose sum is σ = 107509618944000. Its totient is φ = 6318342144000.

The previous prime is 26778497673589. The next prime is 26778497673643. The reversal of 26778497673600 is 637679487762.

It is a happy number.

26778497673600 is a `hidden beast` number, since 2 + 6 + 7 + 7 + 8 + 4 + 9 + 7 + 6 + 7 + 3 + 600 = 666.

It is a super-2 number, since 2×26778497673600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 96673276662 + ... + 96673276938.

It is an arithmetic number, because the mean of its divisors is an integer number (46662161000).

Almost surely, 2^{26778497673600} is an apocalyptic number.

26778497673600 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 26778497673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53754809472000).

26778497673600 is an abundant number, since it is smaller than the sum of its proper divisors (80731121270400).

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

26778497673600 is a wasteful number, since it uses less digits than its factorization.

26778497673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 72.

The spelling of 26778497673600 in words is "twenty-six trillion, seven hundred seventy-eight billion, four hundred ninety-seven million, six hundred seventy-three thousand, six hundred".