16155412416 has 1120 divisors, whose sum is σ = 62785873920. Its totient is φ = 4031078400.

The previous prime is 16155412393. The next prime is 16155412421. The reversal of 16155412416 is 61421455161.

16155412416 is a `hidden beast` number, since 1 + 61 + 554 + 1 + 2 + 41 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 436632750 + ... + 436632786.

It is an arithmetic number, because the mean of its divisors is an integer number (56058816).

Almost surely, 2^16155412416 is an apocalyptic number.

16155412416 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 16155412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31392936960).

16155412416 is an abundant number, since it is smaller than the sum of its proper divisors (46630461504).

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

16155412416 is a wasteful number, since it uses less digits than its factorization.

16155412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 16155412416 its reverse (61421455161), we get a palindrome (77576867577).

The spelling of 16155412416 in words is "sixteen billion, one hundred fifty-five million, four hundred twelve thousand, four hundred sixteen".