16785887040 has 896 divisors, whose sum is σ = 69128640000. Its totient is φ = 3797286912.

The previous prime is 16785886993. The next prime is 16785887059. The reversal of 16785887040 is 4078858761.

It is a happy number.

16785887040 is a `hidden beast` number, since 16 + 7 + 8 + 588 + 7 + 0 + 40 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112656886 + ... + 112657034.

It is an arithmetic number, because the mean of its divisors is an integer number (77152500).

Almost surely, 2^16785887040 is an apocalyptic number.

16785887040 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 16785887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564320000).

16785887040 is an abundant number, since it is smaller than the sum of its proper divisors (52342752960).

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

16785887040 is a wasteful number, since it uses less digits than its factorization.

16785887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 16785887040 in words is "sixteen billion, seven hundred eighty-five million, eight hundred eighty-seven thousand, forty".