1269768385600 has 567 divisors, whose sum is σ = 3737753835501. Its totient is φ = 424052428800.

The previous prime is 1269768385579. The next prime is 1269768385619. The reversal of 1269768385600 is 65838679621.

The square root of 1269768385600 is 1126840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 495987781696 + 773780603904 = 704264^2 + 879648^2 .

It is a super-2 number, since 2×1269768385600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6445524702 + ... + 6445524898.

Almost surely, 2^{1269768385600} is an apocalyptic number.

1269768385600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1269768385600 is the 1126840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1269768385600

1269768385600 is an abundant number, since it is smaller than the sum of its proper divisors (2467985449901).

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

1269768385600 is a wasteful number, since it uses less digits than its factorization.

1269768385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 1269768385600 in words is "one trillion, two hundred sixty-nine billion, seven hundred sixty-eight million, three hundred eighty-five thousand, six hundred".