1260906393600 has 2184 divisors, whose sum is σ = 5683930173440. Its totient is φ = 270888468480.

The previous prime is 1260906393587. The next prime is 1260906393701. The reversal of 1260906393600 is 63936090621.

It is a happy number.

1260906393600 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 9 + 0 + 6 + 39 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9928396737 + ... + 9928396863.

Almost surely, 2^{1260906393600} is an apocalyptic number.

1260906393600 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 1260906393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841965086720).

1260906393600 is an abundant number, since it is smaller than the sum of its proper divisors (4423023779840).

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

1260906393600 is an equidigital number, since it uses as much as digits as its factorization.

1260906393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 1260906393600 in words is "one trillion, two hundred sixty billion, nine hundred six million, three hundred ninety-three thousand, six hundred".