16587795840 has 1024 divisors, whose sum is σ = 70431897600. Its totient is φ = 3220439040.

The previous prime is 16587795839. The next prime is 16587795901. The reversal of 16587795840 is 4859778561.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 227230044 + ... + 227230116.

It is an arithmetic number, because the mean of its divisors is an integer number (68781150).

Almost surely, 2^16587795840 is an apocalyptic number.

16587795840 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 16587795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35215948800).

16587795840 is an abundant number, since it is smaller than the sum of its proper divisors (53844101760).

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

16587795840 is a wasteful number, since it uses less digits than its factorization.

16587795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 60.

The spelling of 16587795840 in words is "sixteen billion, five hundred eighty-seven million, seven hundred ninety-five thousand, eight hundred forty".