216005510379840 has 448 divisors, whose sum is σ = 691821779590656. Its totient is φ = 57100018352128.

The previous prime is 216005510379821. The next prime is 216005510379907. The reversal of 216005510379840 is 48973015500612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52263610414 + ... + 52263614546.

It is a 2-persistent number, because it is pandigital, and so is 2⋅216005510379840 = 432011020759680, but 3⋅216005510379840 = 648016531139520 is not.

Almost surely, 2^{216005510379840} is an apocalyptic number.

216005510379840 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 216005510379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345910889795328).

216005510379840 is an abundant number, since it is smaller than the sum of its proper divisors (475816269210816).

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

216005510379840 is a wasteful number, since it uses less digits than its factorization.

216005510379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 216005510379840 in words is "two hundred sixteen trillion, five billion, five hundred ten million, three hundred seventy-nine thousand, eight hundred forty".