12962387661552 has 240 divisors, whose sum is σ = 44177447051712. Its totient is φ = 3463481548800.

The previous prime is 12962387661523. The next prime is 12962387661577. The reversal of 12962387661552 is 25516678326921.

12962387661552 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 2 + 3 + 8 + 7 + 6 + 615 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12962387661552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281302 + ... + 5099402.

Almost surely, 2^{12962387661552} is an apocalyptic number.

12962387661552 is a gapful number since it is divisible by the number (12) 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 12962387661552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22088723525856).

12962387661552 is an abundant number, since it is smaller than the sum of its proper divisors (31215059390160).

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

12962387661552 is a wasteful number, since it uses less digits than its factorization.

12962387661552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818296 (or 4818287 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 12962387661552 in words is "twelve trillion, nine hundred sixty-two billion, three hundred eighty-seven million, six hundred sixty-one thousand, five hundred fifty-two".