874966887600 has 240 divisors, whose sum is σ = 3075365476512. Its totient is φ = 211312558080.

The previous prime is 874966887589. The next prime is 874966887601. The reversal of 874966887600 is 6788669478.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (874966887601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297672 + ... + 1355928.

Almost surely, 2^874966887600 is an apocalyptic number.

874966887600 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 874966887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537682738256).

874966887600 is an abundant number, since it is smaller than the sum of its proper divisors (2200398588912).

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

874966887600 is a wasteful number, since it uses less digits than its factorization.

874966887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058344 (or 1058333 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 69.

The spelling of 874966887600 in words is "eight hundred seventy-four billion, nine hundred sixty-six million, eight hundred eighty-seven thousand, six hundred".