12510167040 has 576 divisors, whose sum is σ = 51338085120. Its totient is φ = 2831155200.

The previous prime is 12510167029. The next prime is 12510167057. The reversal of 12510167040 is 4076101521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12510166995 and 12510167013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123862990 + ... + 123863090.

It is an arithmetic number, because the mean of its divisors is an integer number (89128620).

Almost surely, 2^12510167040 is an apocalyptic number.

12510167040 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 12510167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25669042560).

12510167040 is an abundant number, since it is smaller than the sum of its proper divisors (38827918080).

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

12510167040 is an frugal number, since it uses more digits than its factorization.

12510167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 12510167040 its reverse (4076101521), we get a palindrome (16586268561).

The spelling of 12510167040 in words is "twelve billion, five hundred ten million, one hundred sixty-seven thousand, forty".