71858666880 has 1536 divisors, whose sum is σ = 339177646080. Its totient is φ = 13649264640.

The previous prime is 71858666879. The next prime is 71858666897. The reversal of 71858666880 is 8866685817.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 697656909 + ... + 697657011.

It is an arithmetic number, because the mean of its divisors is an integer number (220818780).

Almost surely, 2^71858666880 is an apocalyptic number.

71858666880 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 71858666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169588823040).

71858666880 is an abundant number, since it is smaller than the sum of its proper divisors (267318979200).

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

71858666880 is a wasteful number, since it uses less digits than its factorization.

71858666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 71858666880 in words is "seventy-one billion, eight hundred fifty-eight million, six hundred sixty-six thousand, eight hundred eighty".