2057553103136 has 96 divisors (see below), whose sum is σ = 4228127592192. Its totient is φ = 984690432000.

The previous prime is 2057553103129. The next prime is 2057553103147. The reversal of 2057553103136 is 6313013557502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2057553103093 and 2057553103102.

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, 59558060 + ... + 59592596.

It is an arithmetic number, because the mean of its divisors is an integer number (44042995752).

Almost surely, 2^{2057553103136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057553103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114063796096).

2057553103136 is an abundant number, since it is smaller than the sum of its proper divisors (2170574489056).

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

2057553103136 is a wasteful number, since it uses less digits than its factorization.

2057553103136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35402 (or 35394 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 41.

The spelling of 2057553103136 in words is "two trillion, fifty-seven billion, five hundred fifty-three million, one hundred three thousand, one hundred thirty-six".