1520683796016 has 720 divisors, whose sum is σ = 5723417606400. Its totient is φ = 371661696000.

The previous prime is 1520683795987. The next prime is 1520683796057. The reversal of 1520683796016 is 6106973860251.

1520683796016 is a `hidden beast` number, since 1 + 5 + 20 + 6 + 8 + 3 + 7 + 9 + 601 + 6 = 666.

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 143 ways as a sum of consecutive naturals, for example, 222676890 + ... + 222683718.

It is an arithmetic number, because the mean of its divisors is an integer number (7949191120).

Almost surely, 2^{1520683796016} is an apocalyptic number.

1520683796016 is a gapful number since it is divisible by the number (16) 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 1520683796016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861708803200).

1520683796016 is an abundant number, since it is smaller than the sum of its proper divisors (4202733810384).

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

1520683796016 is a wasteful number, since it uses less digits than its factorization.

1520683796016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1520683796016 in words is "one trillion, five hundred twenty billion, six hundred eighty-three million, seven hundred ninety-six thousand, sixteen".