16123676400 has 480 divisors, whose sum is σ = 63332821440. Its totient is φ = 3870720000.

The previous prime is 16123676399. The next prime is 16123676411. The reversal of 16123676400 is 467632161.

It is a happy number.

16123676400 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 3 + 6 + 7 + 640 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5755000 + ... + 5757800.

It is an arithmetic number, because the mean of its divisors is an integer number (131943378).

Almost surely, 2^16123676400 is an apocalyptic number.

16123676400 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 16123676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31666410720).

16123676400 is an abundant number, since it is smaller than the sum of its proper divisors (47209145040).

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

16123676400 is a wasteful number, since it uses less digits than its factorization.

16123676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 16123676400 in words is "sixteen billion, one hundred twenty-three million, six hundred seventy-six thousand, four hundred".