16063286400 has 1152 divisors, whose sum is σ = 71623094400. Its totient is φ = 3344302080.

The previous prime is 16063286377. The next prime is 16063286419. The reversal of 16063286400 is 468236061.

16063286400 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 3 + 2 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 147369546 + ... + 147369654.

It is an arithmetic number, because the mean of its divisors is an integer number (62172825).

Almost surely, 2^16063286400 is an apocalyptic number.

16063286400 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 16063286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35811547200).

16063286400 is an abundant number, since it is smaller than the sum of its proper divisors (55559808000).

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

16063286400 is a wasteful number, since it uses less digits than its factorization.

16063286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16063286400 in words is "sixteen billion, sixty-three million, two hundred eighty-six thousand, four hundred".