887642169120 has 288 divisors, whose sum is σ = 3464247346560. Its totient is φ = 202746470400.

The previous prime is 887642169107. The next prime is 887642169163. The reversal of 887642169120 is 21961246788.

It is a happy number.

887642169120 is a `hidden beast` number, since 88 + 76 + 421 + 69 + 12 + 0 = 666.

887642169120 is digitally balanced in base 2, because in such base 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 (288).

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, 14595736 + ... + 14656424.

It is an arithmetic number, because the mean of its divisors is an integer number (12028636620).

Almost surely, 2^887642169120 is an apocalyptic number.

887642169120 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 887642169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732123673280).

887642169120 is an abundant number, since it is smaller than the sum of its proper divisors (2576605177440).

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

887642169120 is a wasteful number, since it uses less digits than its factorization.

887642169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62168 (or 62157 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 887642169120 in words is "eight hundred eighty-seven billion, six hundred forty-two million, one hundred sixty-nine thousand, one hundred twenty".