1249711680 has 336 divisors, whose sum is σ = 4770095616. Its totient is φ = 276111360.

The previous prime is 1249711651. The next prime is 1249711733. The reversal of 1249711680 is 861179421.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457812 + ... + 1458668.

Almost surely, 2^1249711680 is an apocalyptic number.

1249711680 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 1249711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385047808).

1249711680 is an abundant number, since it is smaller than the sum of its proper divisors (3520383936).

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

1249711680 is a wasteful number, since it uses less digits than its factorization.

1249711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1249711680 is about 35351.2613636345. The cubic root of 1249711680 is about 1077.1345164327.

The spelling of 1249711680 in words is "one billion, two hundred forty-nine million, seven hundred eleven thousand, six hundred eighty".