16405753540 has 72 divisors (see below), whose sum is σ = 37948692096. Its totient is φ = 5953147200.

The previous prime is 16405753499. The next prime is 16405753549. The reversal of 16405753540 is 4535750461.

It is a junction number, because it is equal to n+sod(n) for n = 16405753493 and 16405753502.

It is not an unprimeable number, because it can be changed into a prime (16405753549) 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, 1181317 + ... + 1195123.

It is an arithmetic number, because the mean of its divisors is an integer number (527065168).

Almost surely, 2^16405753540 is an apocalyptic number.

16405753540 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 16405753540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974346048).

16405753540 is an abundant number, since it is smaller than the sum of its proper divisors (21542938556).

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

16405753540 is a wasteful number, since it uses less digits than its factorization.

16405753540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14329 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 16405753540 in words is "sixteen billion, four hundred five million, seven hundred fifty-three thousand, five hundred forty".