1552536542400 has 672 divisors, whose sum is σ = 5678834626560. Its totient is φ = 369533767680.

The previous prime is 1552536542399. The next prime is 1552536542411. The reversal of 1552536542400 is 42456352551.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140533677 + ... + 140544723.

Almost surely, 2^{1552536542400} is an apocalyptic number.

1552536542400 is a gapful number since it is divisible by the number (10) 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 1552536542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839417313280).

1552536542400 is an abundant number, since it is smaller than the sum of its proper divisors (4126298084160).

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

1552536542400 is a wasteful number, since it uses less digits than its factorization.

1552536542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11181 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 1552536542400 in words is "one trillion, five hundred fifty-two billion, five hundred thirty-six million, five hundred forty-two thousand, four hundred".