216465040000 has 160 divisors (see below), whose sum is σ = 587867322240. Its totient is φ = 78714240000.

The previous prime is 216465039949. The next prime is 216465040079. The reversal of 216465040000 is 40564612.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×216465040000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 757009 + ... + 1002991.

It is an arithmetic number, because the mean of its divisors is an integer number (3674170764).

Almost surely, 2^216465040000 is an apocalyptic number.

216465040000 is a gapful number since it is divisible by the number (20) 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 216465040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293933661120).

216465040000 is an abundant number, since it is smaller than the sum of its proper divisors (371402282240).

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

216465040000 is an equidigital number, since it uses as much as digits as its factorization.

216465040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246028 (or 246001 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 216465040000 in words is "two hundred sixteen billion, four hundred sixty-five million, forty thousand".