869877852480 has 1792 divisors, whose sum is σ = 4034900459520. Its totient is φ = 171196416000.

The previous prime is 869877852461. The next prime is 869877852491. The reversal of 869877852480 is 84258778968.

869877852480 is a `hidden beast` number, since 8 + 6 + 98 + 7 + 7 + 8 + 52 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 869877852399 and 869877852408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2018277865 + ... + 2018278295.

It is an arithmetic number, because the mean of its divisors is an integer number (2251618560).

Almost surely, 2^869877852480 is an apocalyptic number.

869877852480 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 869877852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017450229760).

869877852480 is an abundant number, since it is smaller than the sum of its proper divisors (3165022607040).

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

869877852480 is a wasteful number, since it uses less digits than its factorization.

869877852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 869877852480 in words is "eight hundred sixty-nine billion, eight hundred seventy-seven million, eight hundred fifty-two thousand, four hundred eighty".