71225963924220 has 384 divisors, whose sum is σ = 266672970547200. Its totient is φ = 15417797126400.

The previous prime is 71225963924191. The next prime is 71225963924257. The reversal of 71225963924220 is 2242936952217.

71225963924220 is a `hidden beast` number, since 7 + 1 + 2 + 2 + 596 + 3 + 9 + 2 + 42 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200271955 + ... + 200627285.

It is an arithmetic number, because the mean of its divisors is an integer number (694460860800).

Almost surely, 2^{71225963924220} is an apocalyptic number.

71225963924220 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 71225963924220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133336485273600).

71225963924220 is an abundant number, since it is smaller than the sum of its proper divisors (195447006622980).

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

71225963924220 is a wasteful number, since it uses less digits than its factorization.

71225963924220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358166 (or 358158 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 71225963924220 in words is "seventy-one trillion, two hundred twenty-five billion, nine hundred sixty-three million, nine hundred twenty-four thousand, two hundred twenty".