26272604160 has 1008 divisors, whose sum is σ = 108772634880. Its totient is φ = 5839257600.

The previous prime is 26272604153. The next prime is 26272604177. The reversal of 26272604160 is 6140627262.

26272604160 is a `hidden beast` number, since 2 + 627 + 26 + 0 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 847503345 + ... + 847503375.

It is an arithmetic number, because the mean of its divisors is an integer number (107909360).

Almost surely, 2^26272604160 is an apocalyptic number.

26272604160 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 26272604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54386317440).

26272604160 is an abundant number, since it is smaller than the sum of its proper divisors (82500030720).

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

26272604160 is a wasteful number, since it uses less digits than its factorization.

26272604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26272604160 in words is "twenty-six billion, two hundred seventy-two million, six hundred four thousand, one hundred sixty".