879851721600 has 768 divisors, whose sum is σ = 3362141952000. Its totient is φ = 224446464000.

The previous prime is 879851721559. The next prime is 879851721607. The reversal of 879851721600 is 6127158978.

879851721600 is a `hidden beast` number, since 8 + 7 + 9 + 8 + 5 + 1 + 7 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879851721607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238375755 + ... + 238379445.

It is an arithmetic number, because the mean of its divisors is an integer number (4377789000).

Almost surely, 2^879851721600 is an apocalyptic number.

879851721600 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 879851721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681070976000).

879851721600 is an abundant number, since it is smaller than the sum of its proper divisors (2482290230400).

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

879851721600 is a wasteful number, since it uses less digits than its factorization.

879851721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 879851721600 in words is "eight hundred seventy-nine billion, eight hundred fifty-one million, seven hundred twenty-one thousand, six hundred".