16400589867520 has 320 divisors, whose sum is σ = 40529632366080. Its totient is φ = 6362046332928.

The previous prime is 16400589867509. The next prime is 16400589867569. The reversal of 16400589867520 is 2576898500461.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12843061122 + ... + 12843062398.

It is an arithmetic number, because the mean of its divisors is an integer number (126655101144).

Almost surely, 2^{16400589867520} is an apocalyptic number.

16400589867520 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 16400589867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20264816183040).

16400589867520 is an abundant number, since it is smaller than the sum of its proper divisors (24129042498560).

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

16400589867520 is a wasteful number, since it uses less digits than its factorization.

16400589867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 16400589867520 in words is "sixteen trillion, four hundred billion, five hundred eighty-nine million, eight hundred sixty-seven thousand, five hundred twenty".