26252478720 has 432 divisors, whose sum is σ = 98308322112. Its totient is φ = 6429818880.

The previous prime is 26252478713. The next prime is 26252478751. The reversal of 26252478720 is 2787425262.

26252478720 is a `hidden beast` number, since 2 + 62 + 52 + 478 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45976035 + ... + 45976605.

Almost surely, 2^26252478720 is an apocalyptic number.

26252478720 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 26252478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49154161056).

26252478720 is an abundant number, since it is smaller than the sum of its proper divisors (72055843392).

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

26252478720 is a wasteful number, since it uses less digits than its factorization.

26252478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 26252478720 in words is "twenty-six billion, two hundred fifty-two million, four hundred seventy-eight thousand, seven hundred twenty".