16416761088 has 288 divisors, whose sum is σ = 53997705216. Its totient is φ = 4311834624.

The previous prime is 16416761069. The next prime is 16416761111. The reversal of 16416761088 is 88016761461.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32637445 + ... + 32637947.

It is an arithmetic number, because the mean of its divisors is an integer number (187492032).

Almost surely, 2^16416761088 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 16416761088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998852608).

16416761088 is an abundant number, since it is smaller than the sum of its proper divisors (37580944128).

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

16416761088 is a wasteful number, since it uses less digits than its factorization.

16416761088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 16416761088 in words is "sixteen billion, four hundred sixteen million, seven hundred sixty-one thousand, eighty-eight".