26801292960 has 480 divisors, whose sum is σ = 102412138752. Its totient is φ = 6561699840.

The previous prime is 26801292949. The next prime is 26801292989. The reversal of 26801292960 is 6929210862.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 45657787 + ... + 45658373.

Almost surely, 2^26801292960 is an apocalyptic number.

26801292960 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 26801292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206069376).

26801292960 is an abundant number, since it is smaller than the sum of its proper divisors (75610845792).

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

26801292960 is a wasteful number, since it uses less digits than its factorization.

26801292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 26801292960 in words is "twenty-six billion, eight hundred one million, two hundred ninety-two thousand, nine hundred sixty".