26534980800 has 252 divisors, whose sum is σ = 94587401376. Its totient is φ = 7055308800.

The previous prime is 26534980799. The next prime is 26534980853. The reversal of 26534980800 is 808943562.

26534980800 is a `hidden beast` number, since 26 + 534 + 98 + 0 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5282290 + ... + 5287310.

Almost surely, 2^26534980800 is an apocalyptic number.

26534980800 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 26534980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47293700688).

26534980800 is an abundant number, since it is smaller than the sum of its proper divisors (68052420576).

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

26534980800 is a wasteful number, since it uses less digits than its factorization.

26534980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 26534980800 in words is "twenty-six billion, five hundred thirty-four million, nine hundred eighty thousand, eight hundred".