1249565856000 has 3456 divisors, whose sum is σ = 5862607994880. Its totient is φ = 232243200000.

The previous prime is 1249565855971. The next prime is 1249565856001. The reversal of 1249565856000 is 6585659421.

It is a happy number.

It is a super-2 number, since 2×1249565856000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1249565856001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30477215980 + ... + 30477216020.

It is an arithmetic number, because the mean of its divisors is an integer number (1696356480).

Almost surely, 2^{1249565856000} is an apocalyptic number.

1249565856000 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 1249565856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931303997440).

1249565856000 is an abundant number, since it is smaller than the sum of its proper divisors (4613042138880).

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

1249565856000 is a wasteful number, since it uses less digits than its factorization.

1249565856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 1249565856000 in words is "one trillion, two hundred forty-nine billion, five hundred sixty-five million, eight hundred fifty-six thousand".