26305628160 has 384 divisors, whose sum is σ = 96943392000. Its totient is φ = 5965086720.

The previous prime is 26305628143. The next prime is 26305628161. The reversal of 26305628160 is 6182650362.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (26305628161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32040550 + ... + 32041370.

It is an arithmetic number, because the mean of its divisors is an integer number (252456750).

Almost surely, 2^26305628160 is an apocalyptic number.

26305628160 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 26305628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48471696000).

26305628160 is an abundant number, since it is smaller than the sum of its proper divisors (70637763840).

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

26305628160 is a wasteful number, since it uses less digits than its factorization.

26305628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 26305628160 in words is "twenty-six billion, three hundred five million, six hundred twenty-eight thousand, one hundred sixty".