1253047968000 has 864 divisors, whose sum is σ = 4951396719360. Its totient is φ = 314457292800.

The previous prime is 1253047967981. The next prime is 1253047968047. The reversal of 1253047968000 is 8697403521.

1253047968000 is a `hidden beast` number, since 12 + 530 + 47 + 9 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132187261 + ... + 132196739.

It is an arithmetic number, because the mean of its divisors is an integer number (5730783240).

It is a 1-persistent number, because it is pandigital, but 2⋅1253047968000 = 2506095936000 is not.

Almost surely, 2^{1253047968000} is an apocalyptic number.

1253047968000 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 1253047968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475698359680).

1253047968000 is an abundant number, since it is smaller than the sum of its proper divisors (3698348751360).

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

1253047968000 is an frugal number, since it uses more digits than its factorization.

1253047968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1253047968000 in words is "one trillion, two hundred fifty-three billion, forty-seven million, nine hundred sixty-eight thousand".