853994876544 has 288 divisors, whose sum is σ = 2634245178240. Its totient is φ = 275473820160.

The previous prime is 853994876531. The next prime is 853994876551. The reversal of 853994876544 is 445678499358.

853994876544 is a `hidden beast` number, since 8 + 5 + 3 + 9 + 9 + 4 + 8 + 76 + 544 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 26017647 + ... + 26050449.

Almost surely, 2^853994876544 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 853994876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317122589120).

853994876544 is an abundant number, since it is smaller than the sum of its proper divisors (1780250301696).

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

853994876544 is an frugal number, since it uses more digits than its factorization.

853994876544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32872 (or 32839 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 853994876544 in words is "eight hundred fifty-three billion, nine hundred ninety-four million, eight hundred seventy-six thousand, five hundred forty-four".