71810221560 has 512 divisors, whose sum is σ = 293581946880. Its totient is φ = 13589913600.

The previous prime is 71810221559. The next prime is 71810221583. The reversal of 71810221560 is 6512201817.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4862107 + ... + 4876853.

It is an arithmetic number, because the mean of its divisors is an integer number (573402240).

Almost surely, 2^71810221560 is an apocalyptic number.

71810221560 is a gapful number since it is divisible by the number (70) 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 71810221560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146790973440).

71810221560 is an abundant number, since it is smaller than the sum of its proper divisors (221771725320).

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

71810221560 is a wasteful number, since it uses less digits than its factorization.

71810221560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14827 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 71810221560 in words is "seventy-one billion, eight hundred ten million, two hundred twenty-one thousand, five hundred sixty".