1557542216682 has 256 divisors, whose sum is σ = 3718523427840. Its totient is φ = 482553676800.

The previous prime is 1557542216609. The next prime is 1557542216683. The reversal of 1557542216682 is 2866122457551.

1557542216682 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 542 + 2 + 16 + 6 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1557542216683) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 665330832 + ... + 665333172.

It is an arithmetic number, because the mean of its divisors is an integer number (14525482140).

Almost surely, 2^{1557542216682} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1557542216682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859261713920).

1557542216682 is an abundant number, since it is smaller than the sum of its proper divisors (2160981211158).

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

1557542216682 is a wasteful number, since it uses less digits than its factorization.

1557542216682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2600 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

It can be divided in two parts, 1557542 and 216682, that added together give a square (1774224 = 1332²).

The spelling of 1557542216682 in words is "one trillion, five hundred fifty-seven billion, five hundred forty-two million, two hundred sixteen thousand, six hundred eighty-two".