1557013352832 has 640 divisors, whose sum is σ = 5357602958400. Its totient is φ = 439689461760.

The previous prime is 1557013352831. The next prime is 1557013352887. The reversal of 1557013352832 is 2382533107551.

1557013352832 is a `hidden beast` number, since 1 + 5 + 570 + 13 + 35 + 2 + 8 + 32 = 666.

It is a super-2 number, since 2×1557013352832² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1557013352831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3377469082 + ... + 3377469542.

Almost surely, 2^{1557013352832} is an apocalyptic number.

1557013352832 is a gapful number since it is divisible by the number (12) 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 1557013352832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678801479200).

1557013352832 is an abundant number, since it is smaller than the sum of its proper divisors (3800589605568).

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

1557013352832 is a wasteful number, since it uses less digits than its factorization.

1557013352832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1557013352832 in words is "one trillion, five hundred fifty-seven billion, thirteen million, three hundred fifty-two thousand, eight hundred thirty-two".