26885053440 has 880 divisors, whose sum is σ = 112838172960. Its totient is φ = 6145155072.

The previous prime is 26885053439. The next prime is 26885053499. The reversal of 26885053440 is 4435058862.

26885053440 is a `hidden beast` number, since 2 + 68 + 8 + 50 + 534 + 4 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3840721917 + ... + 3840721923.

Almost surely, 2^26885053440 is an apocalyptic number.

26885053440 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 26885053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56419086480).

26885053440 is an abundant number, since it is smaller than the sum of its proper divisors (85953119520).

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

26885053440 is an frugal number, since it uses more digits than its factorization.

26885053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 26885053440 in words is "twenty-six billion, eight hundred eighty-five million, fifty-three thousand, four hundred forty".