869107105152 has 384 divisors, whose sum is σ = 3009860773920. Its totient is φ = 237175603200.

The previous prime is 869107105133. The next prime is 869107105183. The reversal of 869107105152 is 251501701968.

869107105152 is a `hidden beast` number, since 8 + 69 + 1 + 0 + 71 + 0 + 515 + 2 = 666.

869107105152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 869107105098 and 869107105107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6689838 + ... + 6818514.

Almost surely, 2^869107105152 is an apocalyptic number.

869107105152 is a gapful number since it is divisible by the number (82) 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 869107105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504930386960).

869107105152 is an abundant number, since it is smaller than the sum of its proper divisors (2140753668768).

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

869107105152 is a wasteful number, since it uses less digits than its factorization.

869107105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128762 (or 128747 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 869107105152 in words is "eight hundred sixty-nine billion, one hundred seven million, one hundred five thousand, one hundred fifty-two".