26358982800 has 480 divisors, whose sum is σ = 92551219200. Its totient is φ = 6386688000.

The previous prime is 26358982781. The next prime is 26358982823. The reversal of 26358982800 is 828985362.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132457101 + ... + 132457299.

It is an arithmetic number, because the mean of its divisors is an integer number (192815040).

Almost surely, 2^26358982800 is an apocalyptic number.

26358982800 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 26358982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46275609600).

26358982800 is an abundant number, since it is smaller than the sum of its proper divisors (66192236400).

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

26358982800 is a wasteful number, since it uses less digits than its factorization.

26358982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 26358982800 in words is "twenty-six billion, three hundred fifty-eight million, nine hundred eighty-two thousand, eight hundred".