26282574720 has 384 divisors, whose sum is σ = 97982913600. Its totient is φ = 6471843840.

The previous prime is 26282574683. The next prime is 26282574779. The reversal of 26282574720 is 2747528262.

26282574720 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 2 + 574 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3838500 + ... + 3845340.

Almost surely, 2^26282574720 is an apocalyptic number.

26282574720 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 26282574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48991456800).

26282574720 is an abundant number, since it is smaller than the sum of its proper divisors (71700338880).

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

26282574720 is a wasteful number, since it uses less digits than its factorization.

26282574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6903 counting only the distinct ones).

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

The spelling of 26282574720 in words is "twenty-six billion, two hundred eighty-two million, five hundred seventy-four thousand, seven hundred twenty".