71500553280 has 896 divisors, whose sum is σ = 285526886400. Its totient is φ = 16930529280.

The previous prime is 71500553273. The next prime is 71500553281. The reversal of 71500553280 is 8235500517.

71500553280 is a `hidden beast` number, since 71 + 50 + 0 + 5 + 532 + 8 + 0 = 666.

It is a super-2 number, since 2×71500553280² (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 not an unprimeable number, because it can be changed into a prime (71500553281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263839545 + ... + 263839815.

It is an arithmetic number, because the mean of its divisors is an integer number (318668400).

Almost surely, 2^71500553280 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 71500553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142763443200).

71500553280 is an abundant number, since it is smaller than the sum of its proper divisors (214026333120).

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

71500553280 is a wasteful number, since it uses less digits than its factorization.

71500553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 71500553280 in words is "seventy-one billion, five hundred million, five hundred fifty-three thousand, two hundred eighty".