16540593840 has 120 divisors (see below), whose sum is σ = 55812604848. Its totient is φ = 4389880320.

The previous prime is 16540593791. The next prime is 16540593847. The reversal of 16540593840 is 4839504561.

16540593840 is a `hidden beast` number, since 1 + 6 + 54 + 0 + 593 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16540593847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97482 + ... + 206358.

Almost surely, 2^16540593840 is an apocalyptic number.

16540593840 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 16540593840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27906302424).

16540593840 is an abundant number, since it is smaller than the sum of its proper divisors (39272011008).

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

16540593840 is a wasteful number, since it uses less digits than its factorization.

16540593840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109107 (or 109098 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 16540593840 in words is "sixteen billion, five hundred forty million, five hundred ninety-three thousand, eight hundred forty".