71211022560 has 576 divisors, whose sum is σ = 272957428800. Its totient is φ = 17278894080.

The previous prime is 71211022559. The next prime is 71211022573. The reversal of 71211022560 is 6522011217.

71211022560 is a `hidden beast` number, since 71 + 2 + 1 + 10 + 22 + 560 = 666.

It is a super-3 number, since 3×71211022560³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70575336 + ... + 70576344.

It is an arithmetic number, because the mean of its divisors is an integer number (473884425).

Almost surely, 2^71211022560 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 71211022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136478714400).

71211022560 is an abundant number, since it is smaller than the sum of its proper divisors (201746406240).

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

71211022560 is a wasteful number, since it uses less digits than its factorization.

71211022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 71211022560 its reverse (6522011217), we get a palindrome (77733033777).

The spelling of 71211022560 in words is "seventy-one billion, two hundred eleven million, twenty-two thousand, five hundred sixty".