216406080000 has 1800 divisors, whose sum is σ = 928305522144. Its totient is φ = 50181120000.

The previous prime is 216406079983. The next prime is 216406080017. The reversal of 216406080000 is 80604612.

216406080000 is a `hidden beast` number, since 2 + 16 + 40 + 608 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216406079983) and next prime (216406080017).

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9408959989 + ... + 9408960011.

Almost surely, 2^216406080000 is an apocalyptic number.

216406080000 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 216406080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464152761072).

216406080000 is an abundant number, since it is smaller than the sum of its proper divisors (711899442144).

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

216406080000 is an frugal number, since it uses more digits than its factorization.

216406080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 216406080000 its reverse (80604612), we get a palindrome (216486684612).

The spelling of 216406080000 in words is "two hundred sixteen billion, four hundred six million, eighty thousand".