216093134880 has 1152 divisors, whose sum is σ = 907288252416. Its totient is φ = 47551795200.

The previous prime is 216093134867. The next prime is 216093134899. The reversal of 216093134880 is 88431390612.

216093134880 is a `hidden beast` number, since 2 + 1 + 609 + 3 + 1 + 34 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×216093134880² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1024137975 + ... + 1024138185.

It is an arithmetic number, because the mean of its divisors is an integer number (787576608).

Almost surely, 2^216093134880 is an apocalyptic number.

216093134880 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 216093134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453644126208).

216093134880 is an abundant number, since it is smaller than the sum of its proper divisors (691195117536).

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

216093134880 is a wasteful number, since it uses less digits than its factorization.

216093134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 216093134880 in words is "two hundred sixteen billion, ninety-three million, one hundred thirty-four thousand, eight hundred eighty".