1253217516672 has 128 divisors (see below), whose sum is σ = 3634034310720. Its totient is φ = 379496038400.

The previous prime is 1253217516671. The next prime is 1253217516679. The reversal of 1253217516672 is 2766157123521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1253217516671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5949472 + ... + 6156512.

Almost surely, 2^{1253217516672} is an apocalyptic number.

1253217516672 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 1253217516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817017155360).

1253217516672 is an abundant number, since it is smaller than the sum of its proper divisors (2380816794048).

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

1253217516672 is a wasteful number, since it uses less digits than its factorization.

1253217516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208502 (or 208490 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The spelling of 1253217516672 in words is "one trillion, two hundred fifty-three billion, two hundred seventeen million, five hundred sixteen thousand, six hundred seventy-two".