1533086161920 has 704 divisors, whose sum is σ = 5656527175680. Its totient is φ = 393353625600.

The previous prime is 1533086161843. The next prime is 1533086161961. The reversal of 1533086161920 is 291616803351.

1533086161920 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 0 + 8 + 6 + 1 + 619 + 20 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 818518104 + ... + 818519976.

Almost surely, 2^{1533086161920} is an apocalyptic number.

1533086161920 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 1533086161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828263587840).

1533086161920 is an abundant number, since it is smaller than the sum of its proper divisors (4123441013760).

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

1533086161920 is a wasteful number, since it uses less digits than its factorization.

1533086161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1533086161920 in words is "one trillion, five hundred thirty-three billion, eighty-six million, one hundred sixty-one thousand, nine hundred twenty".