872290691712 has 512 divisors, whose sum is σ = 2853232128000. Its totient is φ = 260151091200.

The previous prime is 872290691707. The next prime is 872290691821. The reversal of 872290691712 is 217196092278.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957508537 + ... + 957509447.

It is an arithmetic number, because the mean of its divisors is an integer number (5572719000).

Almost surely, 2^872290691712 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 872290691712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426616064000).

872290691712 is an abundant number, since it is smaller than the sum of its proper divisors (1980941436288).

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

872290691712 is a wasteful number, since it uses less digits than its factorization.

872290691712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 872290691712 in words is "eight hundred seventy-two billion, two hundred ninety million, six hundred ninety-one thousand, seven hundred twelve".