1957857564544 has 256 divisors, whose sum is σ = 5102552448000. Its totient is φ = 727935123456.

The previous prime is 1957857564539. The next prime is 1957857564547. The reversal of 1957857564544 is 4454657587591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957857564547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10616677 + ... + 10799515.

It is an arithmetic number, because the mean of its divisors is an integer number (19931845500).

Almost surely, 2^{1957857564544} is an apocalyptic number.

1957857564544 is a gapful number since it is divisible by the number (14) 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 1957857564544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551276224000).

1957857564544 is an abundant number, since it is smaller than the sum of its proper divisors (3144694883456).

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

1957857564544 is a wasteful number, since it uses less digits than its factorization.

1957857564544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182933 (or 182921 counting only the distinct ones).

The product of its digits is 846720000, while the sum is 70.

The spelling of 1957857564544 in words is "one trillion, nine hundred fifty-seven billion, eight hundred fifty-seven million, five hundred sixty-four thousand, five hundred forty-four".