1520290247168 has 240 divisors, whose sum is σ = 3819927175680. Its totient is φ = 591687106560.

The previous prime is 1520290247131. The next prime is 1520290247191. The reversal of 1520290247168 is 8617420920251.

It is a super-2 number, since 2×1520290247168² (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 23 ways as a sum of consecutive naturals, for example, 762813980 + ... + 762815972.

It is an arithmetic number, because the mean of its divisors is an integer number (15916363232).

Almost surely, 2^{1520290247168} 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 1520290247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909963587840).

1520290247168 is an abundant number, since it is smaller than the sum of its proper divisors (2299636928512).

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

1520290247168 is a wasteful number, since it uses less digits than its factorization.

1520290247168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 1520290247168 in words is "one trillion, five hundred twenty billion, two hundred ninety million, two hundred forty-seven thousand, one hundred sixty-eight".