71919398880 has 1536 divisors, whose sum is σ = 321889075200. Its totient is φ = 14631321600.

The previous prime is 71919398857. The next prime is 71919398911. The reversal of 71919398880 is 8889391917.

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 255 ways as a sum of consecutive naturals, for example, 1012949245 + ... + 1012949315.

It is an arithmetic number, because the mean of its divisors is an integer number (209563200).

Almost surely, 2^71919398880 is an apocalyptic number.

71919398880 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 71919398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160944537600).

71919398880 is an abundant number, since it is smaller than the sum of its proper divisors (249969676320).

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

71919398880 is a wasteful number, since it uses less digits than its factorization.

71919398880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 71919398880 in words is "seventy-one billion, nine hundred nineteen million, three hundred ninety-eight thousand, eight hundred eighty".