1290959339600 has 480 divisors, whose sum is σ = 3776089743360. Its totient is φ = 414305280000.

The previous prime is 1290959339533. The next prime is 1290959339609. The reversal of 1290959339600 is 69339590921.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290959339609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2176996904 + ... + 2176997496.

It is an arithmetic number, because the mean of its divisors is an integer number (7866853632).

Almost surely, 2^{1290959339600} is an apocalyptic number.

1290959339600 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 1290959339600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888044871680).

1290959339600 is an abundant number, since it is smaller than the sum of its proper divisors (2485130403760).

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

1290959339600 is a wasteful number, since it uses less digits than its factorization.

1290959339600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 3542940, while the sum is 56.

The spelling of 1290959339600 in words is "one trillion, two hundred ninety billion, nine hundred fifty-nine million, three hundred thirty-nine thousand, six hundred".