12492765715950 has 576 divisors, whose sum is σ = 39390598840320. Its totient is φ = 2811055104000.

The previous prime is 12492765715949. The next prime is 12492765715957. The reversal of 12492765715950 is 5951756729421.

It is a happy number.

12492765715950 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 2 + 7 + 6 + 571 + 5 + 9 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12492765715957) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1216309315 + ... + 1216319585.

It is an arithmetic number, because the mean of its divisors is an integer number (68386456320).

Almost surely, 2^{12492765715950} is an apocalyptic number.

12492765715950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12492765715950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19695299420160).

12492765715950 is an abundant number, since it is smaller than the sum of its proper divisors (26897833124370).

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

12492765715950 is a wasteful number, since it uses less digits than its factorization.

12492765715950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10705 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 12492765715950 in words is "twelve trillion, four hundred ninety-two billion, seven hundred sixty-five million, seven hundred fifteen thousand, nine hundred fifty".