1268021747520 has 336 divisors, whose sum is σ = 5037845761728. Its totient is φ = 289316782080.

The previous prime is 1268021747519. The next prime is 1268021747539. The reversal of 1268021747520 is 257471208621.

1268021747520 is a `hidden beast` number, since 1 + 2 + 6 + 80 + 2 + 1 + 7 + 47 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638674 + ... + 1715793.

Almost surely, 2^{1268021747520} is an apocalyptic number.

1268021747520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268021747520 is an abundant number, since it is smaller than the sum of its proper divisors (3769824014208).

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

1268021747520 is a wasteful number, since it uses less digits than its factorization.

1268021747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354518 (or 2354505 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1268021747520 in words is "one trillion, two hundred sixty-eight billion, twenty-one million, seven hundred forty-seven thousand, five hundred twenty".