16078286400 has 1008 divisors, whose sum is σ = 64342548480. Its totient is φ = 3497472000.

The previous prime is 16078286339. The next prime is 16078286417. The reversal of 16078286400 is 468287061.

It is a super-2 number, since 2×16078286400² (a number of 21 digits) contains 22 as substring.

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, 342091177 + ... + 342091223.

Almost surely, 2^16078286400 is an apocalyptic number.

16078286400 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 16078286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32171274240).

16078286400 is an abundant number, since it is smaller than the sum of its proper divisors (48264262080).

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

16078286400 is a wasteful number, since it uses less digits than its factorization.

16078286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 16078286400 in words is "sixteen billion, seventy-eight million, two hundred eighty-six thousand, four hundred".