1557386320896 has 1320 divisors, whose sum is σ = 5724969947136. Its totient is φ = 419849256960.

The previous prime is 1557386320891. The next prime is 1557386321009. The reversal of 1557386320896 is 6980236837551.

1557386320896 is a `hidden beast` number, since 155 + 7 + 3 + 86 + 320 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1557386320891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5921620861 + ... + 5921621123.

Almost surely, 2^{1557386320896} is an apocalyptic number.

1557386320896 is a gapful number since it is divisible by the number (16) 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 1557386320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862484973568).

1557386320896 is an abundant number, since it is smaller than the sum of its proper divisors (4167583626240).

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

1557386320896 is a wasteful number, since it uses less digits than its factorization.

1557386320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1557386320896 in words is "one trillion, five hundred fifty-seven billion, three hundred eighty-six million, three hundred twenty thousand, eight hundred ninety-six".