1503796660224 has 384 divisors, whose sum is σ = 4496135454720. Its totient is φ = 444484288512.

The previous prime is 1503796660213. The next prime is 1503796660357. The reversal of 1503796660224 is 4220666973051.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1503796660224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 160949697 + ... + 160959039.

It is an arithmetic number, because the mean of its divisors is an integer number (11708686080).

Almost surely, 2^{1503796660224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1503796660224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248067727360).

1503796660224 is an abundant number, since it is smaller than the sum of its proper divisors (2992338794496).

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

1503796660224 is a wasteful number, since it uses less digits than its factorization.

1503796660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1503796660224 in words is "one trillion, five hundred three billion, seven hundred ninety-six million, six hundred sixty thousand, two hundred twenty-four".