1533873922560 has 960 divisors, whose sum is σ = 6358268759040. Its totient is φ = 349479567360.

The previous prime is 1533873922523. The next prime is 1533873922573. The reversal of 1533873922560 is 652293783351.

1533873922560 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 8 + 73 + 9 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 1533873922497 and 1533873922506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1547803665 + ... + 1547804655.

It is an arithmetic number, because the mean of its divisors is an integer number (6623196624).

Almost surely, 2^{1533873922560} is an apocalyptic number.

1533873922560 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 1533873922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179134379520).

1533873922560 is an abundant number, since it is smaller than the sum of its proper divisors (4824394836480).

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

1533873922560 is an equidigital number, since it uses as much as digits as its factorization.

1533873922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 1533873922560 in words is "one trillion, five hundred thirty-three billion, eight hundred seventy-three million, nine hundred twenty-two thousand, five hundred sixty".