1520536000224 has 96 divisors (see below), whose sum is σ = 4077299068416. Its totient is φ = 495943531520.

The previous prime is 1520536000157. The next prime is 1520536000253. The reversal of 1520536000224 is 4220006350251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1520536000191 and 1520536000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20072179 + ... + 20147789.

It is an arithmetic number, because the mean of its divisors is an integer number (42471865296).

Almost surely, 2^{1520536000224} 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 1520536000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038649534208).

1520536000224 is an abundant number, since it is smaller than the sum of its proper divisors (2556763068192).

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

1520536000224 is a wasteful number, since it uses less digits than its factorization.

1520536000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80128 (or 80120 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1520536000224 in words is "one trillion, five hundred twenty billion, five hundred thirty-six million, two hundred twenty-four", and thus it is an aban number.