1253618773056 has 1232 divisors, whose sum is σ = 4535504467200. Its totient is φ = 339578044416.

The previous prime is 1253618773031. The next prime is 1253618773061. The reversal of 1253618773056 is 6503778163521.

1253618773056 is a `hidden beast` number, since 1 + 2 + 536 + 1 + 8 + 77 + 30 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1253618772993 and 1253618773011.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 15868592025 + ... + 15868592103.

Almost surely, 2^{1253618773056} is an apocalyptic number.

1253618773056 is a gapful number since it is divisible by the number (16) 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 1253618773056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267752233600).

1253618773056 is an abundant number, since it is smaller than the sum of its proper divisors (3281885694144).

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

1253618773056 is an equidigital number, since it uses as much as digits as its factorization.

1253618773056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

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

The spelling of 1253618773056 in words is "one trillion, two hundred fifty-three billion, six hundred eighteen million, seven hundred seventy-three thousand, fifty-six".