216726120540 has 144 divisors (see below), whose sum is σ = 674492495040. Its totient is φ = 56295644160.

The previous prime is 216726120503. The next prime is 216726120551. The reversal of 216726120540 is 45021627612.

It is a happy number.

216726120540 is a `hidden beast` number, since 21 + 6 + 72 + 6 + 1 + 20 + 540 = 666.

It is a super-2 number, since 2×216726120540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216726120495 and 216726120504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4752166 + ... + 4797554.

It is an arithmetic number, because the mean of its divisors is an integer number (4683975660).

Almost surely, 2^216726120540 is an apocalyptic number.

216726120540 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 216726120540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337246247520).

216726120540 is an abundant number, since it is smaller than the sum of its proper divisors (457766374500).

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

216726120540 is a wasteful number, since it uses less digits than its factorization.

216726120540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46092 (or 46087 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 216726120540 in words is "two hundred sixteen billion, seven hundred twenty-six million, one hundred twenty thousand, five hundred forty".