12487534080 has 640 divisors, whose sum is σ = 48271196160. Its totient is φ = 2694021120.

The previous prime is 12487534069. The next prime is 12487534109. The reversal of 12487534080 is 8043578421.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×12487534080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98326977 + ... + 98327103.

It is an arithmetic number, because the mean of its divisors is an integer number (75423744).

Almost surely, 2^12487534080 is an apocalyptic number.

12487534080 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 12487534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24135598080).

12487534080 is an abundant number, since it is smaller than the sum of its proper divisors (35783662080).

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

12487534080 is a wasteful number, since it uses less digits than its factorization.

12487534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 12487534080 in words is "twelve billion, four hundred eighty-seven million, five hundred thirty-four thousand, eighty".