16887255840 has 1344 divisors, whose sum is σ = 77368870656. Its totient is φ = 3386105856.

The previous prime is 16887255829. The next prime is 16887255871. The reversal of 16887255840 is 4855278861.

16887255840 is a `hidden beast` number, since 1 + 6 + 8 + 87 + 2 + 558 + 4 + 0 = 666.

16887255840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16887255840² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 392726859 + ... + 392726901.

It is an arithmetic number, because the mean of its divisors is an integer number (57566124).

Almost surely, 2^16887255840 is an apocalyptic number.

16887255840 is a gapful number since it is divisible by the number (10) 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 16887255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38684435328).

16887255840 is an abundant number, since it is smaller than the sum of its proper divisors (60481614816).

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

16887255840 is a wasteful number, since it uses less digits than its factorization.

16887255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 16887255840 in words is "sixteen billion, eight hundred eighty-seven million, two hundred fifty-five thousand, eight hundred forty".