71830616220 has 288 divisors, whose sum is σ = 243476513280. Its totient is φ = 16994880000.

The previous prime is 71830616219. The next prime is 71830616251. The reversal of 71830616220 is 2261603817.

71830616220 is a `hidden beast` number, since 7 + 1 + 8 + 30 + 616 + 2 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14196051 + ... + 14201109.

It is an arithmetic number, because the mean of its divisors is an integer number (845404560).

Almost surely, 2^71830616220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71830616220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121738256640).

71830616220 is an abundant number, since it is smaller than the sum of its proper divisors (171645897060).

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

71830616220 is a wasteful number, since it uses less digits than its factorization.

71830616220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 71830616220 in words is "seventy-one billion, eight hundred thirty million, six hundred sixteen thousand, two hundred twenty".