216516233593440 has 3072 divisors, whose sum is σ = 912712002048000. Its totient is φ = 47366783631360.

The previous prime is 216516233593367. The next prime is 216516233593447. The reversal of 216516233593440 is 44395332615612.

216516233593440 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 1 + 6 + 2 + 3 + 3 + 593 + 4 + 40 = 666.

It is a super-2 number, since 2×216516233593440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216516233593447) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 353207558574 + ... + 353207559186.

It is an arithmetic number, because the mean of its divisors is an integer number (297106771500).

Almost surely, 2^{216516233593440} is an apocalyptic number.

216516233593440 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 216516233593440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456356001024000).

216516233593440 is an abundant number, since it is smaller than the sum of its proper divisors (696195768454560).

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

216516233593440 is a wasteful number, since it uses less digits than its factorization.

216516233593440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 216516233593440 in words is "two hundred sixteen trillion, five hundred sixteen billion, two hundred thirty-three million, five hundred ninety-three thousand, four hundred forty".