26674540041600 has 1728 divisors, whose sum is σ = 109959488861040. Its totient is φ = 6102466560000.

The previous prime is 26674540041599. The next prime is 26674540041671. The reversal of 26674540041600 is 614004547662.

26674540041600 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 4 + 540 + 0 + 41 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12482235732 + ... + 12482237868.

Almost surely, 2^{26674540041600} is an apocalyptic number.

26674540041600 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 26674540041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54979744430520).

26674540041600 is an abundant number, since it is smaller than the sum of its proper divisors (83284948819440).

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

26674540041600 is a wasteful number, since it uses less digits than its factorization.

26674540041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26674540041600 in words is "twenty-six trillion, six hundred seventy-four billion, five hundred forty million, forty-one thousand, six hundred".