826872048000 has 192 divisors, whose sum is σ = 2969504759520. Its totient is φ = 220499174400.

The previous prime is 826872047957. The next prime is 826872048019. The reversal of 826872048000 is 840278628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2727084 + ... + 3015083.

Almost surely, 2^826872048000 is an apocalyptic number.

826872048000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826872048000 is an abundant number, since it is smaller than the sum of its proper divisors (2142632711520).

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

826872048000 is a wasteful number, since it uses less digits than its factorization.

826872048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742202 (or 5742177 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 826872048000 in words is "eight hundred twenty-six billion, eight hundred seventy-two million, forty-eight thousand".