12510962640 has 240 divisors, whose sum is σ = 47315114496. Its totient is φ = 2935065600.

The previous prime is 12510962621. The next prime is 12510962657. The reversal of 12510962640 is 4626901521.

12510962640 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 0 + 9 + 6 + 2 + 640 = 666.

12510962640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12510962595 and 12510962604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220042 + ... + 270998.

Almost surely, 2^12510962640 is an apocalyptic number.

12510962640 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 12510962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23657557248).

12510962640 is an abundant number, since it is smaller than the sum of its proper divisors (34804151856).

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

12510962640 is a wasteful number, since it uses less digits than its factorization.

12510962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51018 (or 51009 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 1251096 and 2640, that added together give a triangular number (1253736 = T₁₅₈₃).

The spelling of 12510962640 in words is "twelve billion, five hundred ten million, nine hundred sixty-two thousand, six hundred forty".