71053536960 has 560 divisors, whose sum is σ = 304074819840. Its totient is φ = 15385282560.

The previous prime is 71053536959. The next prime is 71053536971. The reversal of 71053536960 is 6963535017.

71053536960 is a `hidden beast` number, since 7 + 1 + 0 + 53 + 536 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×71053536960² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3437055 + ... + 3457665.

Almost surely, 2^71053536960 is an apocalyptic number.

71053536960 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 71053536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152037409920).

71053536960 is an abundant number, since it is smaller than the sum of its proper divisors (233021282880).

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

71053536960 is a wasteful number, since it uses less digits than its factorization.

71053536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 71053536960 in words is "seventy-one billion, fifty-three million, five hundred thirty-six thousand, nine hundred sixty".