887949717120 has 1024 divisors, whose sum is σ = 3360614400000. Its totient is φ = 221118087168.

The previous prime is 887949717119. The next prime is 887949717121. The reversal of 887949717120 is 21717949788.

887949717120 is a `hidden beast` number, since 8 + 8 + 7 + 9 + 497 + 17 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (887949717119) and next prime (887949717121).

It is not an unprimeable number, because it can be changed into a prime (887949717121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4462058781 + ... + 4462058979.

It is an arithmetic number, because the mean of its divisors is an integer number (3281850000).

Almost surely, 2^887949717120 is an apocalyptic number.

887949717120 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 887949717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680307200000).

887949717120 is an abundant number, since it is smaller than the sum of its proper divisors (2472664682880).

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

887949717120 is a wasteful number, since it uses less digits than its factorization.

887949717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 887949717120 in words is "eight hundred eighty-seven billion, nine hundred forty-nine million, seven hundred seventeen thousand, one hundred twenty".