16353553440 has 384 divisors, whose sum is σ = 60713114112. Its totient is φ = 3622993920.

The previous prime is 16353553409. The next prime is 16353553453. The reversal of 16353553440 is 4435535361.

It is a super-2 number, since 2×16353553440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14961534 + ... + 14962626.

It is an arithmetic number, because the mean of its divisors is an integer number (158107068).

Almost surely, 2^16353553440 is an apocalyptic number.

16353553440 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 16353553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30356557056).

16353553440 is an abundant number, since it is smaller than the sum of its proper divisors (44359560672).

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

16353553440 is a wasteful number, since it uses less digits than its factorization.

16353553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 16353553440 in words is "sixteen billion, three hundred fifty-three million, five hundred fifty-three thousand, four hundred forty".