1520411412520 has 256 divisors, whose sum is σ = 4595721338880. Its totient is φ = 437194368000.

The previous prime is 1520411412479. The next prime is 1520411412563. The reversal of 1520411412520 is 252141140251.

It is a super-2 number, since 2×1520411412520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78108309 + ... + 78127771.

It is an arithmetic number, because the mean of its divisors is an integer number (17952036480).

Almost surely, 2^{1520411412520} is an apocalyptic number.

1520411412520 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 1520411412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297860669440).

1520411412520 is an abundant number, since it is smaller than the sum of its proper divisors (3075309926360).

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

1520411412520 is a wasteful number, since it uses less digits than its factorization.

1520411412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21456 (or 21452 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 1520411412520 its reverse (252141140251), we get a palindrome (1772552552771).

The spelling of 1520411412520 in words is "one trillion, five hundred twenty billion, four hundred eleven million, four hundred twelve thousand, five hundred twenty".