16401775104 has 320 divisors, whose sum is σ = 57045098880. Its totient is φ = 4587356160.

The previous prime is 16401775097. The next prime is 16401775121. The reversal of 16401775104 is 40157710461.

16401775104 is a `hidden beast` number, since 1 + 640 + 1 + 7 + 7 + 5 + 1 + 0 + 4 = 666.

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

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, 1972684 + ... + 1980980.

It is an arithmetic number, because the mean of its divisors is an integer number (178265934).

Almost surely, 2^16401775104 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 16401775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28522549440).

16401775104 is an abundant number, since it is smaller than the sum of its proper divisors (40643323776).

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

16401775104 is a wasteful number, since it uses less digits than its factorization.

16401775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8348 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

It can be divided in two parts, 164017 and 75104, that added together give a square (239121 = 489²).

The spelling of 16401775104 in words is "sixteen billion, four hundred one million, seven hundred seventy-five thousand, one hundred four".