852564061440 has 1944 divisors, whose sum is σ = 3864893786208. Its totient is φ = 179338199040.

The previous prime is 852564061429. The next prime is 852564061457. The reversal of 852564061440 is 44160465258.

It is a happy number.

852564061440 is a `hidden beast` number, since 8 + 5 + 25 + 6 + 4 + 0 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2575722075 + ... + 2575722405.

Almost surely, 2^852564061440 is an apocalyptic number.

852564061440 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 852564061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932446893104).

852564061440 is an abundant number, since it is smaller than the sum of its proper divisors (3012329724768).

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

852564061440 is a wasteful number, since it uses less digits than its factorization.

852564061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 852564061440 in words is "eight hundred fifty-two billion, five hundred sixty-four million, sixty-one thousand, four hundred forty".