71161009920 has 2304 divisors, whose sum is σ = 361962639360. Its totient is φ = 12846366720.

The previous prime is 71161009897. The next prime is 71161009921. The reversal of 71161009920 is 2990016117.

71161009920 is a `hidden beast` number, since 7 + 11 + 610 + 0 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71161009921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4185941752 + ... + 4185941768.

It is an arithmetic number, because the mean of its divisors is an integer number (157101840).

Almost surely, 2^71161009920 is an apocalyptic number.

71161009920 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 71161009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180981319680).

71161009920 is an abundant number, since it is smaller than the sum of its proper divisors (290801629440).

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

71161009920 is a wasteful number, since it uses less digits than its factorization.

71161009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 71161009920 in words is "seventy-one billion, one hundred sixty-one million, nine thousand, nine hundred twenty".