1520050460544 has 768 divisors, whose sum is σ = 5645465579520. Its totient is φ = 380989440000.

The previous prime is 1520050460479. The next prime is 1520050460563. The reversal of 1520050460544 is 4450640500251.

1520050460544 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 0 + 5 + 0 + 4 + 605 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1520050460499 and 1520050460508.

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 95 ways as a sum of consecutive naturals, for example, 1432657774 + ... + 1432658834.

It is an arithmetic number, because the mean of its divisors is an integer number (7350866640).

Almost surely, 2^{1520050460544} is an apocalyptic number.

1520050460544 is a gapful number since it is divisible by the number (14) 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 1520050460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822732789760).

1520050460544 is an abundant number, since it is smaller than the sum of its proper divisors (4125415118976).

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

1520050460544 is a wasteful number, since it uses less digits than its factorization.

1520050460544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1520050460544 its reverse (4450640500251), we get a palindrome (5970690960795).

The spelling of 1520050460544 in words is "one trillion, five hundred twenty billion, fifty million, four hundred sixty thousand, five hundred forty-four".