26790053160 has 512 divisors, whose sum is σ = 96566722560. Its totient is φ = 5878726656.

The previous prime is 26790053149. The next prime is 26790053179. The reversal of 26790053160 is 6135009762.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101863189 + ... + 101863451.

It is an arithmetic number, because the mean of its divisors is an integer number (188606880).

Almost surely, 2^26790053160 is an apocalyptic number.

26790053160 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 26790053160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48283361280).

26790053160 is an abundant number, since it is smaller than the sum of its proper divisors (69776669400).

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

26790053160 is a wasteful number, since it uses less digits than its factorization.

26790053160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 26790053160 in words is "twenty-six billion, seven hundred ninety million, fifty-three thousand, one hundred sixty".