16877535840 has 1152 divisors, whose sum is σ = 71856046080. Its totient is φ = 3695155200.

The previous prime is 16877535823. The next prime is 16877535877. The reversal of 16877535840 is 4853577861.

It is a happy number.

16877535840 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 7 + 53 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251903487 + ... + 251903553.

It is an arithmetic number, because the mean of its divisors is an integer number (62375040).

Almost surely, 2^16877535840 is an apocalyptic number.

16877535840 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 16877535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35928023040).

16877535840 is an abundant number, since it is smaller than the sum of its proper divisors (54978510240).

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

16877535840 is a wasteful number, since it uses less digits than its factorization.

16877535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 16877535840 in words is "sixteen billion, eight hundred seventy-seven million, five hundred thirty-five thousand, eight hundred forty".