16478771400 has 576 divisors, whose sum is σ = 69978854400. Its totient is φ = 3381626880.

The previous prime is 16478771371. The next prime is 16478771461. The reversal of 16478771400 is 417787461.

16478771400 is a `hidden beast` number, since 164 + 7 + 87 + 7 + 1 + 400 = 666.

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

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, 6059241 + ... + 6061959.

Almost surely, 2^16478771400 is an apocalyptic number.

16478771400 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 16478771400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34989427200).

16478771400 is an abundant number, since it is smaller than the sum of its proper divisors (53500083000).

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

16478771400 is a wasteful number, since it uses less digits than its factorization.

16478771400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 16478771400 in words is "sixteen billion, four hundred seventy-eight million, seven hundred seventy-one thousand, four hundred".