71886113280 has 800 divisors, whose sum is σ = 272077014528. Its totient is φ = 18114969600.

The previous prime is 71886113269. The next prime is 71886113287. The reversal of 71886113280 is 8231168817.

It is a happy number.

71886113280 is a `hidden beast` number, since 7 + 1 + 8 + 8 + 611 + 3 + 28 + 0 = 666.

It is a super-2 number, since 2×71886113280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71886113287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 340692375 + ... + 340692585.

Almost surely, 2^71886113280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71886113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136038507264).

71886113280 is an abundant number, since it is smaller than the sum of its proper divisors (200190901248).

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

71886113280 is a wasteful number, since it uses less digits than its factorization.

71886113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 71886113280 in words is "seventy-one billion, eight hundred eighty-six million, one hundred thirteen thousand, two hundred eighty".