869555484252000 has 3840 divisors, whose sum is σ = 4105223407853568. Its totient is φ = 175375201075200.

The previous prime is 869555484251921. The next prime is 869555484252031. The reversal of 869555484252000 is 252484555968.

869555484252000 is a `hidden beast` number, since 8 + 6 + 9 + 55 + 54 + 8 + 4 + 2 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×869555484252000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 59587156704 + ... + 59587171296.

Almost surely, 2^{869555484252000} is an apocalyptic number.

869555484252000 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 869555484252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052611703926784).

869555484252000 is an abundant number, since it is smaller than the sum of its proper divisors (3235667923601568).

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

869555484252000 is a wasteful number, since it uses less digits than its factorization.

869555484252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14740 (or 14713 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 869555484252000 in words is "eight hundred sixty-nine trillion, five hundred fifty-five billion, four hundred eighty-four million, two hundred fifty-two thousand".