856623829600 has 576 divisors, whose sum is σ = 2662791570432. Its totient is φ = 261356544000.

The previous prime is 856623829583. The next prime is 856623829603. The reversal of 856623829600 is 6928326658.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856623829603) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1040854789 + ... + 1040855611.

It is an arithmetic number, because the mean of its divisors is an integer number (4622902032).

Almost surely, 2^856623829600 is an apocalyptic number.

856623829600 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 856623829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331395785216).

856623829600 is an abundant number, since it is smaller than the sum of its proper divisors (1806167740832).

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

856623829600 is a wasteful number, since it uses less digits than its factorization.

856623829600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 856623829600 in words is "eight hundred fifty-six billion, six hundred twenty-three million, eight hundred twenty-nine thousand, six hundred".