26839200960 has 840 divisors, whose sum is σ = 112981380336. Its totient is φ = 5995192320.

The previous prime is 26839200953. The next prime is 26839200977. The reversal of 26839200960 is 6900293862.

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 119 ways as a sum of consecutive naturals, for example, 48185002 + ... + 48185558.

Almost surely, 2^26839200960 is an apocalyptic number.

26839200960 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 26839200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56490690168).

26839200960 is an abundant number, since it is smaller than the sum of its proper divisors (86142179376).

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

26839200960 is a wasteful number, since it uses less digits than its factorization.

26839200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 26839200960 in words is "twenty-six billion, eight hundred thirty-nine million, two hundred thousand, nine hundred sixty".