1290482606952 has 1152 divisors, whose sum is σ = 4904628019200. Its totient is φ = 298691712000.

The previous prime is 1290482606951. The next prime is 1290482606999. The reversal of 1290482606952 is 2596062840921.

1290482606952 is a `hidden beast` number, since 1 + 29 + 0 + 4 + 8 + 2 + 606 + 9 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1290482606951) 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, 1329023827 + ... + 1329024797.

It is an arithmetic number, because the mean of its divisors is an integer number (4257489600).

Almost surely, 2^{1290482606952} is an apocalyptic number.

1290482606952 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 1290482606952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452314009600).

1290482606952 is an abundant number, since it is smaller than the sum of its proper divisors (3614145412248).

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

1290482606952 is a wasteful number, since it uses less digits than its factorization.

1290482606952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1290482606952 in words is "one trillion, two hundred ninety billion, four hundred eighty-two million, six hundred six thousand, nine hundred fifty-two".