887350464000 has 4480 divisors, whose sum is σ = 4688669905920. Its totient is φ = 161243136000.

The previous prime is 887350463977. The next prime is 887350464017. The reversal of 887350464000 is 464053788.

887350464000 is a `hidden beast` number, since 8 + 87 + 3 + 504 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×887350464000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 46702655991 + ... + 46702656009.

It is an arithmetic number, because the mean of its divisors is an integer number (1046578104).

Almost surely, 2^887350464000 is an apocalyptic number.

887350464000 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 887350464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344334952960).

887350464000 is an abundant number, since it is smaller than the sum of its proper divisors (3801319441920).

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

887350464000 is a wasteful number, since it uses less digits than its factorization.

887350464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 887350464000 in words is "eight hundred eighty-seven billion, three hundred fifty million, four hundred sixty-four thousand".