2016126443520 has 1344 divisors, whose sum is σ = 8724710292480. Its totient is φ = 436288094208.

The previous prime is 2016126443489. The next prime is 2016126443521. The reversal of 2016126443520 is 253446216102.

2016126443520 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 1 + 2 + 644 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016126443521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1323785479 + ... + 1323787001.

It is an arithmetic number, because the mean of its divisors is an integer number (6491599920).

Almost surely, 2^{2016126443520} is an apocalyptic number.

2016126443520 is a gapful number since it is divisible by the number (20) 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 2016126443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362355146240).

2016126443520 is an abundant number, since it is smaller than the sum of its proper divisors (6708583848960).

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

2016126443520 is an equidigital number, since it uses as much as digits as its factorization.

2016126443520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2016126443520 in words is "two trillion, sixteen billion, one hundred twenty-six million, four hundred forty-three thousand, five hundred twenty".