1468957259520 has 216 divisors, whose sum is σ = 5381406824976. Its totient is φ = 368679419904.

The previous prime is 1468957259513. The next prime is 1468957259521. The reversal of 1468957259520 is 259527598641.

1468957259520 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 9 + 57 + 2 + 59 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468957259521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3554562 + ... + 3946241.

It is an arithmetic number, because the mean of its divisors is an integer number (24913920486).

Almost surely, 2^{1468957259520} is an apocalyptic number.

1468957259520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468957259520 is an abundant number, since it is smaller than the sum of its proper divisors (3912449565456).

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

1468957259520 is a wasteful number, since it uses less digits than its factorization.

1468957259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500847 (or 7500830 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 1468957259520 in words is "one trillion, four hundred sixty-eight billion, nine hundred fifty-seven million, two hundred fifty-nine thousand, five hundred twenty".