1657956128136 has 128 divisors (see below), whose sum is σ = 5170979174400. Its totient is φ = 430360980480.

The previous prime is 1657956128113. The next prime is 1657956128167. The reversal of 1657956128136 is 6318216597561.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1657956128136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593296 + ... + 3168768.

It is an arithmetic number, because the mean of its divisors is an integer number (40398274800).

Almost surely, 2^{1657956128136} 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 1657956128136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585489587200).

1657956128136 is an abundant number, since it is smaller than the sum of its proper divisors (3513023046264).

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

1657956128136 is a wasteful number, since it uses less digits than its factorization.

1657956128136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577059 (or 577055 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 60.

The spelling of 1657956128136 in words is "one trillion, six hundred fifty-seven billion, nine hundred fifty-six million, one hundred twenty-eight thousand, one hundred thirty-six".