16461090800 has 480 divisors, whose sum is σ = 54202245120. Its totient is φ = 4645555200.

The previous prime is 16461090749. The next prime is 16461090827. The reversal of 16461090800 is 809016461.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13458989 + ... + 13460211.

It is an arithmetic number, because the mean of its divisors is an integer number (112921344).

Almost surely, 2^16461090800 is an apocalyptic number.

16461090800 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 16461090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27101122560).

16461090800 is an abundant number, since it is smaller than the sum of its proper divisors (37741154320).

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

16461090800 is a wasteful number, since it uses less digits than its factorization.

16461090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 16461090800 in words is "sixteen billion, four hundred sixty-one million, ninety thousand, eight hundred".