1557435342960 has 160 divisors (see below), whose sum is σ = 6130856647680. Its totient is φ = 355985217792.

The previous prime is 1557435342949. The next prime is 1557435342989. The reversal of 1557435342960 is 692435347551.

1557435342960 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 43 + 534 + 2 + 9 + 60 = 666.

It is a super-3 number, since 3×1557435342960³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1557435342897 and 1557435342906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51487372 + ... + 51517611.

It is an arithmetic number, because the mean of its divisors is an integer number (38317854048).

Almost surely, 2^{1557435342960} is an apocalyptic number.

1557435342960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1557435342960 is an abundant number, since it is smaller than the sum of its proper divisors (4573421304720).

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

1557435342960 is a wasteful number, since it uses less digits than its factorization.

1557435342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103005012 (or 103005000 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 1557435342960 in words is "one trillion, five hundred fifty-seven billion, four hundred thirty-five million, three hundred forty-two thousand, nine hundred sixty".