1557543936256 has 243 divisors, whose sum is σ = 3979194979053. Its totient is φ = 606236252160.

The previous prime is 1557543936251. The next prime is 1557543936259. The reversal of 1557543936256 is 6526393457551.

The square root of 1557543936256 is 1248016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3073593600 + 1554470342656 = 55440^2 + 1246784^2 .

It is a super-2 number, since 2×1557543936256² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1557543936194 and 1557543936203.

It is not an unprimeable number, because it can be changed into a prime (1557543936251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1537555206 + ... + 1537556218.

Almost surely, 2^{1557543936256} is an apocalyptic number.

1557543936256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1557543936256 is the 1248016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1557543936256

1557543936256 is an abundant number, since it is smaller than the sum of its proper divisors (2421651042797).

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

1557543936256 is an frugal number, since it uses more digits than its factorization.

1557543936256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 1033 counting only the distinct ones).

The product of its digits is 102060000, while the sum is 61.

The spelling of 1557543936256 in words is "one trillion, five hundred fifty-seven billion, five hundred forty-three million, nine hundred thirty-six thousand, two hundred fifty-six".