1249568026560 has 1680 divisors, whose sum is σ = 5550884951040. Its totient is φ = 260646543360.

The previous prime is 1249568026493. The next prime is 1249568026561. The reversal of 1249568026560 is 656208659421.

1249568026560 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 56 + 8 + 0 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×1249568026560² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1249568026497 and 1249568026506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249568026561) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2899229545 + ... + 2899229975.

Almost surely, 2^{1249568026560} is an apocalyptic number.

1249568026560 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 1249568026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775442475520).

1249568026560 is an abundant number, since it is smaller than the sum of its proper divisors (4301316924480).

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

1249568026560 is a wasteful number, since it uses less digits than its factorization.

1249568026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1249568026560 in words is "one trillion, two hundred forty-nine billion, five hundred sixty-eight million, twenty-six thousand, five hundred sixty".