16420229280 has 1512 divisors, whose sum is σ = 77572968732. Its totient is φ = 3260694528.

The previous prime is 16420229257. The next prime is 16420229303. The reversal of 16420229280 is 8292202461.

16420229280 is a `hidden beast` number, since 1 + 6 + 420 + 229 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16420229257) and next prime (16420229303).

It can be written as a sum of positive squares in 6 ways, for example, as 3388636944 + 13031592336 = 58212^2 + 114156^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

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 251 ways as a sum of consecutive naturals, for example, 965895832 + ... + 965895848.

Almost surely, 2^16420229280 is an apocalyptic number.

16420229280 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 16420229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786484366).

16420229280 is an abundant number, since it is smaller than the sum of its proper divisors (61152739452).

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

16420229280 is a wasteful number, since it uses less digits than its factorization.

16420229280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16420229280 in words is "sixteen billion, four hundred twenty million, two hundred twenty-nine thousand, two hundred eighty".