26834353920 has 1296 divisors, whose sum is σ = 113995155456. Its totient is φ = 6021734400.

The previous prime is 26834353913. The next prime is 26834353939. The reversal of 26834353920 is 2935343862.

26834353920 is a `hidden beast` number, since 2 + 68 + 34 + 3 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 865624305 + ... + 865624335.

Almost surely, 2^26834353920 is an apocalyptic number.

26834353920 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 26834353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56997577728).

26834353920 is an abundant number, since it is smaller than the sum of its proper divisors (87160801536).

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

26834353920 is a wasteful number, since it uses less digits than its factorization.

26834353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 26834353920 in words is "twenty-six billion, eight hundred thirty-four million, three hundred fifty-three thousand, nine hundred twenty".