16010854912416 has 576 divisors, whose sum is σ = 55183931486208. Its totient is φ = 3966110613504.

The previous prime is 16010854912301. The next prime is 16010854912471. The reversal of 16010854912416 is 61421945801061.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 971111725 + ... + 971128211.

It is an arithmetic number, because the mean of its divisors is an integer number (95805436608).

Almost surely, 2^{16010854912416} is an apocalyptic number.

16010854912416 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 16010854912416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27591965743104).

16010854912416 is an abundant number, since it is smaller than the sum of its proper divisors (39173076573792).

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

16010854912416 is a wasteful number, since it uses less digits than its factorization.

16010854912416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17053 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 16010854912416 in words is "sixteen trillion, ten billion, eight hundred fifty-four million, nine hundred twelve thousand, four hundred sixteen".