26462882160 has 480 divisors, whose sum is σ = 107789101056. Its totient is φ = 5730048000.

The previous prime is 26462882153. The next prime is 26462882179. The reversal of 26462882160 is 6128826462.

26462882160 is a `hidden beast` number, since 2 + 6 + 4 + 628 + 8 + 2 + 16 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3187615 + ... + 3195905.

Almost surely, 2^26462882160 is an apocalyptic number.

26462882160 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 26462882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53894550528).

26462882160 is an abundant number, since it is smaller than the sum of its proper divisors (81326218896).

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

26462882160 is a wasteful number, since it uses less digits than its factorization.

26462882160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 26462882160 in words is "twenty-six billion, four hundred sixty-two million, eight hundred eighty-two thousand, one hundred sixty".