872935087104 has 440 divisors, whose sum is σ = 2721679867808. Its totient is φ = 278413148160.

The previous prime is 872935087103. The next prime is 872935087147. The reversal of 872935087104 is 401780539278.

It is a happy number.

872935087104 is a `hidden beast` number, since 8 + 7 + 29 + 3 + 508 + 7 + 104 = 666.

872935087104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872935087103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187202277 + ... + 187206939.

Almost surely, 2^872935087104 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 872935087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360839933904).

872935087104 is an abundant number, since it is smaller than the sum of its proper divisors (1848744780704).

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

872935087104 is a wasteful number, since it uses less digits than its factorization.

872935087104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 872935087104 in words is "eight hundred seventy-two billion, nine hundred thirty-five million, eighty-seven thousand, one hundred four".