16117358400 has 672 divisors, whose sum is σ = 69051830400. Its totient is φ = 3605299200.

The previous prime is 16117358381. The next prime is 16117358401. The reversal of 16117358400 is 485371161.

16117358400 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 73 + 584 + 0 + 0 = 666.

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 (16117358401) 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, 6176296 + ... + 6178904.

It is an arithmetic number, because the mean of its divisors is an integer number (102755700).

Almost surely, 2^16117358400 is an apocalyptic number.

16117358400 is a gapful number since it is divisible by the number (10) 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 16117358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34525915200).

16117358400 is an abundant number, since it is smaller than the sum of its proper divisors (52934472000).

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

16117358400 is a wasteful number, since it uses less digits than its factorization.

16117358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 16117358400 in words is "sixteen billion, one hundred seventeen million, three hundred fifty-eight thousand, four hundred".