26785280160 has 288 divisors, whose sum is σ = 92545204752. Its totient is φ = 7054295040.

The previous prime is 26785280149. The next prime is 26785280201. The reversal of 26785280160 is 6108258762.

26785280160 is a `hidden beast` number, since 2 + 67 + 8 + 528 + 0 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15019973136 + 11765307024 = 122556^2 + 108468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 58102330 + ... + 58102790.

Almost surely, 2^26785280160 is an apocalyptic number.

26785280160 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 26785280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46272602376).

26785280160 is an abundant number, since it is smaller than the sum of its proper divisors (65759924592).

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

26785280160 is a wasteful number, since it uses less digits than its factorization.

26785280160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 26785280160 in words is "twenty-six billion, seven hundred eighty-five million, two hundred eighty thousand, one hundred sixty".