16345585520 has 160 divisors (see below), whose sum is σ = 43015104000. Its totient is φ = 5721891840.

The previous prime is 16345585519. The next prime is 16345585547. The reversal of 16345585520 is 2558554361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11202551 + ... + 11204009.

It is an arithmetic number, because the mean of its divisors is an integer number (268844400).

Almost surely, 2^16345585520 is an apocalyptic number.

16345585520 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 16345585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21507552000).

16345585520 is an abundant number, since it is smaller than the sum of its proper divisors (26669518480).

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

16345585520 is a wasteful number, since it uses less digits than its factorization.

16345585520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 44.

The spelling of 16345585520 in words is "sixteen billion, three hundred forty-five million, five hundred eighty-five thousand, five hundred twenty".