1520216033280 has 768 divisors, whose sum is σ = 5799205601280. Its totient is φ = 332660736000.

The previous prime is 1520216033269. The next prime is 1520216033327. The reversal of 1520216033280 is 823306120251.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1520216033280² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646624105 + ... + 646626455.

It is an arithmetic number, because the mean of its divisors is an integer number (7551048960).

Almost surely, 2^{1520216033280} is an apocalyptic number.

1520216033280 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 1520216033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899602800640).

1520216033280 is an abundant number, since it is smaller than the sum of its proper divisors (4278989568000).

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

1520216033280 is a wasteful number, since it uses less digits than its factorization.

1520216033280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1520216033280 in words is "one trillion, five hundred twenty billion, two hundred sixteen million, thirty-three thousand, two hundred eighty".