216348537600 has 1728 divisors, whose sum is σ = 916547587200. Its totient is φ = 50164531200.

The previous prime is 216348537589. The next prime is 216348537607. The reversal of 216348537600 is 6735843612.

216348537600 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 4 + 8 + 5 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×216348537600³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (216348537607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5276793580 + ... + 5276793620.

Almost surely, 2^216348537600 is an apocalyptic number.

216348537600 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 216348537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458273793600).

216348537600 is an abundant number, since it is smaller than the sum of its proper divisors (700199049600).

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

216348537600 is an equidigital number, since it uses as much as digits as its factorization.

216348537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 216348537600 in words is "two hundred sixteen billion, three hundred forty-eight million, five hundred thirty-seven thousand, six hundred".