16255958400 has 864 divisors, whose sum is σ = 66830956920. Its totient is φ = 3730636800.

The previous prime is 16255958387. The next prime is 16255958419. The reversal of 16255958400 is 485955261.

16255958400 is a `hidden beast` number, since 1 + 6 + 2 + 559 + 58 + 40 + 0 = 666.

16255958400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 167587152 + ... + 167587248.

Almost surely, 2^16255958400 is an apocalyptic number.

16255958400 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 16255958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415478460).

16255958400 is an abundant number, since it is smaller than the sum of its proper divisors (50574998520).

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

16255958400 is a wasteful number, since it uses less digits than its factorization.

16255958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 16255958400 in words is "sixteen billion, two hundred fifty-five million, nine hundred fifty-eight thousand, four hundred".