218100708540 has 1152 divisors, whose sum is σ = 862977024000. Its totient is φ = 45450408960.

The previous prime is 218100708461. The next prime is 218100708593. The reversal of 218100708540 is 45807001812.

218100708540 is a `hidden beast` number, since 2 + 1 + 8 + 100 + 7 + 0 + 8 + 540 = 666.

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 = 218100708495 and 218100708504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1095983361 + ... + 1095983559.

It is an arithmetic number, because the mean of its divisors is an integer number (749112000).

Almost surely, 2^218100708540 is an apocalyptic number.

218100708540 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 218100708540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431488512000).

218100708540 is an abundant number, since it is smaller than the sum of its proper divisors (644876315460).

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

218100708540 is a wasteful number, since it uses less digits than its factorization.

218100708540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 218100708540 in words is "two hundred eighteen billion, one hundred million, seven hundred eight thousand, five hundred forty".