1253278075392 has 1920 divisors, whose sum is σ = 4890287001600. Its totient is φ = 312166711296.

The previous prime is 1253278075339. The next prime is 1253278075421. The reversal of 1253278075392 is 2935708723521.

1253278075392 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 27 + 80 + 7 + 539 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14081776084 + ... + 14081776172.

It is an arithmetic number, because the mean of its divisors is an integer number (2547024480).

Almost surely, 2^{1253278075392} is an apocalyptic number.

1253278075392 is a gapful number since it is divisible by the number (12) 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 1253278075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445143500800).

1253278075392 is an abundant number, since it is smaller than the sum of its proper divisors (3637008926208).

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

1253278075392 is an equidigital number, since it uses as much as digits as its factorization.

1253278075392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 1253278075392 in words is "one trillion, two hundred fifty-three billion, two hundred seventy-eight million, seventy-five thousand, three hundred ninety-two".