216813240483840 has 5120 divisors, whose sum is σ = 1099860588288000. Its totient is φ = 39351924817920.

The previous prime is 216813240483823. The next prime is 216813240483899. The reversal of 216813240483840 is 48384042318612.

216813240483840 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 13 + 240 + 4 + 8 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

It is a super-2 number, since 2×216813240483840² (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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 252401909331 + ... + 252401910189.

It is an arithmetic number, because the mean of its divisors is an integer number (214816521150).

Almost surely, 2^{216813240483840} is an apocalyptic number.

216813240483840 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 216813240483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549930294144000).

216813240483840 is an abundant number, since it is smaller than the sum of its proper divisors (883047347804160).

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

216813240483840 is a wasteful number, since it uses less digits than its factorization.

216813240483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 216813240483840 in words is "two hundred sixteen trillion, eight hundred thirteen billion, two hundred forty million, four hundred eighty-three thousand, eight hundred forty".