1533157113600 has 1080 divisors, whose sum is σ = 6500733266720. Its totient is φ = 349240688640.

The previous prime is 1533157113569. The next prime is 1533157113623. The reversal of 1533157113600 is 63117513351.

1533157113600 is a `hidden beast` number, since 1 + 5 + 3 + 31 + 5 + 7 + 1 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1484178684 + ... + 1484179716.

Almost surely, 2^{1533157113600} is an apocalyptic number.

1533157113600 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 1533157113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250366633360).

1533157113600 is an abundant number, since it is smaller than the sum of its proper divisors (4967576153120).

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

1533157113600 is a wasteful number, since it uses less digits than its factorization.

1533157113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 1533157113600 in words is "one trillion, five hundred thirty-three billion, one hundred fifty-seven million, one hundred thirteen thousand, six hundred".