1205757348672 has 112 divisors (see below), whose sum is σ = 3358686297600. Its totient is φ = 380703536640.

The previous prime is 1205757348667. The next prime is 1205757348701. The reversal of 1205757348672 is 2768437575021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25800847 + ... + 25847537.

Almost surely, 2^{1205757348672} is an apocalyptic number.

1205757348672 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 1205757348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679343148800).

1205757348672 is an abundant number, since it is smaller than the sum of its proper divisors (2152928948928).

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

1205757348672 is a wasteful number, since it uses less digits than its factorization.

1205757348672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53804 (or 53794 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 1205757348672 in words is "one trillion, two hundred five billion, seven hundred fifty-seven million, three hundred forty-eight thousand, six hundred seventy-two".