1268036409528 has 480 divisors, whose sum is σ = 4285470261600. Its totient is φ = 348865574400.

The previous prime is 1268036409511. The next prime is 1268036409533. The reversal of 1268036409528 is 8259046308621.

1268036409528 is a `hidden beast` number, since 1 + 2 + 6 + 80 + 36 + 4 + 0 + 9 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 387658533 + ... + 387661803.

It is an arithmetic number, because the mean of its divisors is an integer number (8928063045).

Almost surely, 2^{1268036409528} is an apocalyptic number.

1268036409528 is a gapful number since it is divisible by the number (18) 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 1268036409528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142735130800).

1268036409528 is an abundant number, since it is smaller than the sum of its proper divisors (3017433852072).

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

1268036409528 is a wasteful number, since it uses less digits than its factorization.

1268036409528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1268036409528 in words is "one trillion, two hundred sixty-eight billion, thirty-six million, four hundred nine thousand, five hundred twenty-eight".