872093525940 has 1080 divisors, whose sum is σ = 3618673653672. Its totient is φ = 174243363840.

The previous prime is 872093525917. The next prime is 872093525971. The reversal of 872093525940 is 49525390278.

872093525940 is a `hidden beast` number, since 8 + 7 + 20 + 9 + 3 + 525 + 94 + 0 = 666.

872093525940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35768643876 + 836324882064 = 189126^2 + 914508^2 .

It is a super-2 number, since 2×872093525940² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 372529170 + ... + 372531510.

Almost surely, 2^872093525940 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 872093525940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809336826836).

872093525940 is an abundant number, since it is smaller than the sum of its proper divisors (2746580127732).

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

872093525940 is a wasteful number, since it uses less digits than its factorization.

872093525940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 872093525940 in words is "eight hundred seventy-two billion, ninety-three million, five hundred twenty-five thousand, nine hundred forty".