71880011280 has 960 divisors, whose sum is σ = 314904844800. Its totient is φ = 14750208000.

The previous prime is 71880011257. The next prime is 71880011323. The reversal of 71880011280 is 8211008817.

It is a super-2 number, since 2×71880011280² (a number of 23 digits) contains 22 as substring.

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

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, 184781326 + ... + 184781714.

It is an arithmetic number, because the mean of its divisors is an integer number (328025880).

Almost surely, 2^71880011280 is an apocalyptic number.

71880011280 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 71880011280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157452422400).

71880011280 is an abundant number, since it is smaller than the sum of its proper divisors (243024833520).

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

71880011280 is a wasteful number, since it uses less digits than its factorization.

71880011280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 71880011280 in words is "seventy-one billion, eight hundred eighty million, eleven thousand, two hundred eighty".