26485734600 has 144 divisors (see below), whose sum is σ = 95790158100. Its totient is φ = 6519559680.

The previous prime is 26485734599. The next prime is 26485734623. The reversal of 26485734600 is 643758462.

26485734600 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 5 + 7 + 34 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4356792036 + 22128942564 = 66006^2 + 148758^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 542535 + ... + 589334.

Almost surely, 2^26485734600 is an apocalyptic number.

26485734600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26485734600 is an abundant number, since it is smaller than the sum of its proper divisors (69304423500).

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

26485734600 is a wasteful number, since it uses less digits than its factorization.

26485734600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131904 (or 1131892 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26485734600 in words is "twenty-six billion, four hundred eighty-five million, seven hundred thirty-four thousand, six hundred".