26545481740800 has 1680 divisors, whose sum is σ = 108622248257952. Its totient is φ = 6372487987200.

The previous prime is 26545481740769. The next prime is 26545481740801. The reversal of 26545481740800 is 804718454562.

26545481740800 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 548 + 17 + 4 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×26545481740800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26545481740801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10982821192 + ... + 10982823608.

Almost surely, 2^{26545481740800} is an apocalyptic number.

26545481740800 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 26545481740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54311124128976).

26545481740800 is an abundant number, since it is smaller than the sum of its proper divisors (82076766517152).

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

26545481740800 is a wasteful number, since it uses less digits than its factorization.

26545481740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 26545481740800 in words is "twenty-six trillion, five hundred forty-five billion, four hundred eighty-one million, seven hundred forty thousand, eight hundred".