216254545920 has 1152 divisors, whose sum is σ = 905573639880. Its totient is φ = 47563407360.

The previous prime is 216254545873. The next prime is 216254545943. The reversal of 216254545920 is 29545452612.

216254545920 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 5 + 4 + 54 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123994128384 + 92260417536 = 352128^2 + 303744^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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 71 ways as a sum of consecutive naturals, for example, 2962391004 + ... + 2962391076.

Almost surely, 2^216254545920 is an apocalyptic number.

216254545920 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 216254545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452786819940).

216254545920 is an abundant number, since it is smaller than the sum of its proper divisors (689319093960).

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

216254545920 is an equidigital number, since it uses as much as digits as its factorization.

216254545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 216254545920 in words is "two hundred sixteen billion, two hundred fifty-four million, five hundred forty-five thousand, nine hundred twenty".