26574794400 has 864 divisors, whose sum is σ = 115203876480. Its totient is φ = 5190451200.

The previous prime is 26574794381. The next prime is 26574794413. The reversal of 26574794400 is 449747562.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26574794400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34557216 + ... + 34557984.

It is an arithmetic number, because the mean of its divisors is an integer number (133337820).

Almost surely, 2^26574794400 is an apocalyptic number.

26574794400 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 26574794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57601938240).

26574794400 is an abundant number, since it is smaller than the sum of its proper divisors (88629082080).

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

26574794400 is a wasteful number, since it uses less digits than its factorization.

26574794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 26574794400 in words is "twenty-six billion, five hundred seventy-four million, seven hundred ninety-four thousand, four hundred".