15624420416 has 56 divisors (see below), whose sum is σ = 33965205120. Its totient is φ = 7072217600.

The previous prime is 15624420377. The next prime is 15624420443. The reversal of 15624420416 is 61402442651.

It is a super-2 number, since 2×15624420416² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121826 + ... + 214686.

It is an arithmetic number, because the mean of its divisors is an integer number (606521520).

Almost surely, 2^15624420416 is an apocalyptic number.

15624420416 is a gapful number since it is divisible by the number (16) 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 15624420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982602560).

15624420416 is an abundant number, since it is smaller than the sum of its proper divisors (18340784704).

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

15624420416 is a wasteful number, since it uses less digits than its factorization.

15624420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93123 (or 93113 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 15624420416 in words is "fifteen billion, six hundred twenty-four million, four hundred twenty thousand, four hundred sixteen".