16535640240 has 640 divisors, whose sum is σ = 71943966720. Its totient is φ = 3401367552.

The previous prime is 16535640197. The next prime is 16535640241. The reversal of 16535640240 is 4204653561.

16535640240 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 5 + 640 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16535640195 and 16535640204.

It is not an unprimeable number, because it can be changed into a prime (16535640241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5910522 + ... + 5913318.

It is an arithmetic number, because the mean of its divisors is an integer number (112412448).

Almost surely, 2^16535640240 is an apocalyptic number.

16535640240 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 16535640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35971983360).

16535640240 is an abundant number, since it is smaller than the sum of its proper divisors (55408326480).

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

16535640240 is a wasteful number, since it uses less digits than its factorization.

16535640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 16535640240 in words is "sixteen billion, five hundred thirty-five million, six hundred forty thousand, two hundred forty".