12558952640 has 224 divisors, whose sum is σ = 34283196864. Its totient is φ = 4341104640.

The previous prime is 12558952561. The next prime is 12558952649. The reversal of 12558952640 is 4625985521.

It is a super-3 number, since 3×12558952640³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12558952649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18174695 + ... + 18175385.

It is an arithmetic number, because the mean of its divisors is an integer number (153049986).

Almost surely, 2^12558952640 is an apocalyptic number.

12558952640 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 12558952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141598432).

12558952640 is an abundant number, since it is smaller than the sum of its proper divisors (21724244224).

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

12558952640 is a wasteful number, since it uses less digits than its factorization.

12558952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 47.

The spelling of 12558952640 in words is "twelve billion, five hundred fifty-eight million, nine hundred fifty-two thousand, six hundred forty".