872167253760 has 1440 divisors, whose sum is σ = 3554057751552. Its totient is φ = 202370088960.

The previous prime is 872167253747. The next prime is 872167253801. The reversal of 872167253760 is 67352761278.

It is a happy number.

872167253760 is a `hidden beast` number, since 87 + 21 + 6 + 7 + 2 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 872167253697 and 872167253706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2840935527 + ... + 2840935833.

Almost surely, 2^872167253760 is an apocalyptic number.

872167253760 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 872167253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777028875776).

872167253760 is an abundant number, since it is smaller than the sum of its proper divisors (2681890497792).

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

872167253760 is a wasteful number, since it uses less digits than its factorization.

872167253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 872167253760 in words is "eight hundred seventy-two billion, one hundred sixty-seven million, two hundred fifty-three thousand, seven hundred sixty".