887213658240 has 3840 divisors, whose sum is σ = 4449233733120. Its totient is φ = 163966353408.

The previous prime is 887213658187. The next prime is 887213658271. The reversal of 887213658240 is 42856312788.

887213658240 is a `hidden beast` number, since 8 + 8 + 7 + 2 + 13 + 6 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23978747502 + ... + 23978747538.

It is an arithmetic number, because the mean of its divisors is an integer number (1158654618).

Almost surely, 2^887213658240 is an apocalyptic number.

887213658240 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 887213658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224616866560).

887213658240 is an abundant number, since it is smaller than the sum of its proper divisors (3562020074880).

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

887213658240 is a wasteful number, since it uses less digits than its factorization.

887213658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 887213658240 in words is "eight hundred eighty-seven billion, two hundred thirteen million, six hundred fifty-eight thousand, two hundred forty".