1249908226560 has 800 divisors, whose sum is σ = 5127349328640. Its totient is φ = 285077864448.

The previous prime is 1249908226513. The next prime is 1249908226579. The reversal of 1249908226560 is 656228099421.

1249908226560 is a `hidden beast` number, since 1 + 2 + 499 + 0 + 82 + 26 + 56 + 0 = 666.

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 = 1249908226497 and 1249908226506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1333946412 + ... + 1333947348.

Almost surely, 2^{1249908226560} is an apocalyptic number.

1249908226560 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 1249908226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563674664320).

1249908226560 is an abundant number, since it is smaller than the sum of its proper divisors (3877441102080).

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

1249908226560 is an frugal number, since it uses more digits than its factorization.

1249908226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1249908226560 in words is "one trillion, two hundred forty-nine billion, nine hundred eight million, two hundred twenty-six thousand, five hundred sixty".