16250945760 has 864 divisors, whose sum is σ = 69029356032. Its totient is φ = 3535902720.

The previous prime is 16250945759. The next prime is 16250945761. The reversal of 16250945760 is 6754905261.

It is an interprime number because it is at equal distance from previous prime (16250945759) and next prime (16250945761).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16250945761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228886525 + ... + 228886595.

It is an arithmetic number, because the mean of its divisors is an integer number (79895088).

Almost surely, 2^16250945760 is an apocalyptic number.

16250945760 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 16250945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34514678016).

16250945760 is an abundant number, since it is smaller than the sum of its proper divisors (52778410272).

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

16250945760 is an equidigital number, since it uses as much as digits as its factorization.

16250945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 16250945760 in words is "sixteen billion, two hundred fifty million, nine hundred forty-five thousand, seven hundred sixty".