826087116800 has 156 divisors (see below), whose sum is σ = 2234671372176. Its totient is φ = 300394905600.

The previous prime is 826087116773. The next prime is 826087116847. The reversal of 826087116800 is 8611780628.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759707 + ... + 1493093.

Almost surely, 2^826087116800 is an apocalyptic number.

826087116800 is a gapful number since it is divisible by the number (80) 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 826087116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117335686088).

826087116800 is an abundant number, since it is smaller than the sum of its proper divisors (1408584255376).

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

826087116800 is a wasteful number, since it uses less digits than its factorization.

826087116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733432 (or 733405 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 826087116800 in words is "eight hundred twenty-six billion, eighty-seven million, one hundred sixteen thousand, eight hundred".