1268949370500 has 144 divisors (see below), whose sum is σ = 4574985577344. Its totient is φ = 290045563200.

The previous prime is 1268949370499. The next prime is 1268949370531. The reversal of 1268949370500 is 50739498621.

1268949370500 is a `hidden beast` number, since 1 + 2 + 6 + 89 + 493 + 70 + 5 + 0 + 0 = 666.

It is a super-2 number, since 2×1268949370500² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20110554 + ... + 20173553.

It is an arithmetic number, because the mean of its divisors is an integer number (31770733176).

It is a 1-persistent number, because it is pandigital, but 2⋅1268949370500 = 2537898741000 is not.

Almost surely, 2^{1268949370500} is an apocalyptic number.

1268949370500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268949370500 is an abundant number, since it is smaller than the sum of its proper divisors (3306036206844).

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

1268949370500 is a wasteful number, since it uses less digits than its factorization.

1268949370500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40284139 (or 40284124 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1268949370500 in words is "one trillion, two hundred sixty-eight billion, nine hundred forty-nine million, three hundred seventy thousand, five hundred".