12415530624 has 192 divisors, whose sum is σ = 38486354400. Its totient is φ = 3535902720.

The previous prime is 12415530619. The next prime is 12415530637. The reversal of 12415530624 is 42603551421.

It is a Cunningham number, because it is equal to 111425²-1.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7130394 + ... + 7132134.

Almost surely, 2^12415530624 is an apocalyptic number.

12415530624 is a gapful number since it is divisible by the number (14) 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 12415530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243177200).

12415530624 is an abundant number, since it is smaller than the sum of its proper divisors (26070823776).

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

12415530624 is a wasteful number, since it uses less digits than its factorization.

12415530624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 12415530624 in words is "twelve billion, four hundred fifteen million, five hundred thirty thousand, six hundred twenty-four".