26460020160 has 672 divisors, whose sum is σ = 112506800640. Its totient is φ = 5571846144.

The previous prime is 26460020149. The next prime is 26460020207. The reversal of 26460020160 is 6102006462.

It is a happy number.

26460020160 is a `hidden beast` number, since 2 + 646 + 0 + 0 + 2 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 14171547 + ... + 14173413.

Almost surely, 2^26460020160 is an apocalyptic number.

26460020160 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 26460020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56253400320).

26460020160 is an abundant number, since it is smaller than the sum of its proper divisors (86046780480).

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

26460020160 is a wasteful number, since it uses less digits than its factorization.

26460020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 26460020160 in words is "twenty-six billion, four hundred sixty million, twenty thousand, one hundred sixty".