852880988736 has 336 divisors, whose sum is σ = 2920988620800. Its totient is φ = 243319458816.

The previous prime is 852880988723. The next prime is 852880988753. The reversal of 852880988736 is 637889088258.

852880988736 is a `hidden beast` number, since 8 + 528 + 8 + 0 + 98 + 8 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60025345 + ... + 60039551.

Almost surely, 2^852880988736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852880988736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460494310400).

852880988736 is an abundant number, since it is smaller than the sum of its proper divisors (2068107632064).

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

852880988736 is a wasteful number, since it uses less digits than its factorization.

852880988736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 852880988736 in words is "eight hundred fifty-two billion, eight hundred eighty million, nine hundred eighty-eight thousand, seven hundred thirty-six".