71866858560 has 896 divisors, whose sum is σ = 288644136960. Its totient is φ = 14780620800.

The previous prime is 71866858537. The next prime is 71866858571. The reversal of 71866858560 is 6585866817.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 71866858494 and 71866858503.

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, 265191225 + ... + 265191495.

Almost surely, 2^71866858560 is an apocalyptic number.

71866858560 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 71866858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144322068480).

71866858560 is an abundant number, since it is smaller than the sum of its proper divisors (216777278400).

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

71866858560 is a wasteful number, since it uses less digits than its factorization.

71866858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 71866858560 in words is "seventy-one billion, eight hundred sixty-six million, eight hundred fifty-eight thousand, five hundred sixty".