1260661248000 has 3744 divisors, whose sum is σ = 6362810737920. Its totient is φ = 233570304000.

The previous prime is 1260661247957. The next prime is 1260661248031. The reversal of 1260661248000 is 8421660621.

1260661248000 is a `hidden beast` number, since 1 + 2 + 606 + 6 + 1 + 2 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66350591991 + ... + 66350592009.

It is an arithmetic number, because the mean of its divisors is an integer number (1699468680).

Almost surely, 2^{1260661248000} is an apocalyptic number.

1260661248000 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 1260661248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181405368960).

1260661248000 is an abundant number, since it is smaller than the sum of its proper divisors (5102149489920).

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

1260661248000 is a wasteful number, since it uses less digits than its factorization.

1260661248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1260661248000 in words is "one trillion, two hundred sixty billion, six hundred sixty-one million, two hundred forty-eight thousand".