16590013440 has 1056 divisors, whose sum is σ = 72498779136. Its totient is φ = 3143761920.

The previous prime is 16590013409. The next prime is 16590013477. The reversal of 16590013440 is 4431009561.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199879639 + ... + 199879721.

Almost surely, 2^16590013440 is an apocalyptic number.

16590013440 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 16590013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36249389568).

16590013440 is an abundant number, since it is smaller than the sum of its proper divisors (55908765696).

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

16590013440 is a wasteful number, since it uses less digits than its factorization.

16590013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 16590013440 in words is "sixteen billion, five hundred ninety million, thirteen thousand, four hundred forty".