1249986608640 has 1600 divisors, whose sum is σ = 5636614376448. Its totient is φ = 259336028160.

The previous prime is 1249986608617. The next prime is 1249986608641. The reversal of 1249986608640 is 468066899421.

1249986608640 is a `hidden beast` number, since 1 + 2 + 499 + 8 + 6 + 60 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249986608641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1931972797 + ... + 1931973443.

Almost surely, 2^{1249986608640} is an apocalyptic number.

1249986608640 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 1249986608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818307188224).

1249986608640 is an abundant number, since it is smaller than the sum of its proper divisors (4386627767808).

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

1249986608640 is an frugal number, since it uses more digits than its factorization.

1249986608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 1249986608640 in words is "one trillion, two hundred forty-nine billion, nine hundred eighty-six million, six hundred eight thousand, six hundred forty".