26433057456 has 240 divisors, whose sum is σ = 83216102400. Its totient is φ = 8028543744.

The previous prime is 26433057439. The next prime is 26433057493. The reversal of 26433057456 is 65475033462.

26433057456 is a `hidden beast` number, since 2 + 6 + 43 + 30 + 574 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5765341 + ... + 5769923.

It is an arithmetic number, because the mean of its divisors is an integer number (346733760).

Almost surely, 2^26433057456 is an apocalyptic number.

26433057456 is a gapful number since it is divisible by the number (26) 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 26433057456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41608051200).

26433057456 is an abundant number, since it is smaller than the sum of its proper divisors (56783044944).

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

26433057456 is a wasteful number, since it uses less digits than its factorization.

26433057456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 26433057456 in words is "twenty-six billion, four hundred thirty-three million, fifty-seven thousand, four hundred fifty-six".