1557243536400 has 180 divisors, whose sum is σ = 5519048401152. Its totient is φ = 406429474560.

The previous prime is 1557243536393. The next prime is 1557243536411. The reversal of 1557243536400 is 46353427551.

1557243536400 is a `hidden beast` number, since 1 + 5 + 5 + 72 + 4 + 3 + 536 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4432584 + ... + 4770983.

Almost surely, 2^{1557243536400} is an apocalyptic number.

1557243536400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1557243536400 is an abundant number, since it is smaller than the sum of its proper divisors (3961804864752).

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

1557243536400 is a wasteful number, since it uses less digits than its factorization.

1557243536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203638 (or 9203624 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 1557243536400 in words is "one trillion, five hundred fifty-seven billion, two hundred forty-three million, five hundred thirty-six thousand, four hundred".