26457577440 has 576 divisors, whose sum is σ = 101203458048. Its totient is φ = 5786726400.

The previous prime is 26457577403. The next prime is 26457577469. The reversal of 26457577440 is 4477575462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95514582 + ... + 95514858.

It is an arithmetic number, because the mean of its divisors is an integer number (175700448).

Almost surely, 2^26457577440 is an apocalyptic number.

26457577440 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 26457577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50601729024).

26457577440 is an abundant number, since it is smaller than the sum of its proper divisors (74745880608).

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

26457577440 is a wasteful number, since it uses less digits than its factorization.

26457577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 51.

The spelling of 26457577440 in words is "twenty-six billion, four hundred fifty-seven million, five hundred seventy-seven thousand, four hundred forty".