16418018070720 has 1680 divisors, whose sum is σ = 71181522498240. Its totient is φ = 3574808100864.

The previous prime is 16418018070719. The next prime is 16418018070721. The reversal of 16418018070720 is 2707081081461.

16418018070720 is a `hidden beast` number, since 164 + 180 + 180 + 70 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16418018070719) and next prime (16418018070721).

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (16418018070721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8091678666 + ... + 8091680694.

It is an arithmetic number, because the mean of its divisors is an integer number (42369953868).

Almost surely, 2^{16418018070720} is an apocalyptic number.

16418018070720 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 16418018070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35590761249120).

16418018070720 is an abundant number, since it is smaller than the sum of its proper divisors (54763504427520).

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

16418018070720 is a wasteful number, since it uses less digits than its factorization.

16418018070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 16418018070720 in words is "sixteen trillion, four hundred eighteen billion, eighteen million, seventy thousand, seven hundred twenty".