1268552243200 has 576 divisors, whose sum is σ = 3589293708000. Its totient is φ = 440401920000.

The previous prime is 1268552243141. The next prime is 1268552243243. The reversal of 1268552243200 is 23422558621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1649612416 + ... + 1649613184.

Almost surely, 2^{1268552243200} is an apocalyptic number.

1268552243200 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 1268552243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794646854000).

1268552243200 is an abundant number, since it is smaller than the sum of its proper divisors (2320741464800).

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

1268552243200 is a wasteful number, since it uses less digits than its factorization.

1268552243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 1268552243200 in words is "one trillion, two hundred sixty-eight billion, five hundred fifty-two million, two hundred forty-three thousand, two hundred".