875016836064 has 288 divisors, whose sum is σ = 3040333470720. Its totient is φ = 233013252096.

The previous prime is 875016836011. The next prime is 875016836101. The reversal of 875016836064 is 460638610578.

875016836064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 875016836064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3406077 + ... + 3653955.

It is an arithmetic number, because the mean of its divisors is an integer number (10556713440).

Almost surely, 2^875016836064 is an apocalyptic number.

875016836064 is a gapful number since it is divisible by the number (84) 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 875016836064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520166735360).

875016836064 is an abundant number, since it is smaller than the sum of its proper divisors (2165316634656).

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

875016836064 is a wasteful number, since it uses less digits than its factorization.

875016836064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248022 (or 248011 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 875016836064 in words is "eight hundred seventy-five billion, sixteen million, eight hundred thirty-six thousand, sixty-four".