16411320900 has 252 divisors, whose sum is σ = 57505007812. Its totient is φ = 4039476480.

The previous prime is 16411320899. The next prime is 16411320901. The reversal of 16411320900 is 902311461.

16411320900 is a `hidden beast` number, since 1 + 641 + 13 + 2 + 0 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16411320899) and next prime (16411320901).

It can be written as a sum of positive squares in 6 ways, for example, as 335109636 + 16076211264 = 18306^2 + 126792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16411320901) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 939042 + ... + 956358.

Almost surely, 2^16411320900 is an apocalyptic number.

16411320900 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 16411320900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28752503906).

16411320900 is an abundant number, since it is smaller than the sum of its proper divisors (41093686912).

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

16411320900 is a wasteful number, since it uses less digits than its factorization.

16411320900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17362 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 16411320900 in words is "sixteen billion, four hundred eleven million, three hundred twenty thousand, nine hundred".