26053853280 has 768 divisors, whose sum is σ = 106125852672. Its totient is φ = 5225472000.

The previous prime is 26053853279. The next prime is 26053853297. The reversal of 26053853280 is 8235835062.

26053853280 = 20305² + 20306² + ... + 20367².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 96139545 + ... + 96139815.

It is an arithmetic number, because the mean of its divisors is an integer number (138184704).

Almost surely, 2^26053853280 is an apocalyptic number.

26053853280 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 26053853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53062926336).

26053853280 is an abundant number, since it is smaller than the sum of its proper divisors (80071999392).

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

26053853280 is a wasteful number, since it uses less digits than its factorization.

26053853280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 26053853280 in words is "twenty-six billion, fifty-three million, eight hundred fifty-three thousand, two hundred eighty".