71263825920 has 1560 divisors, whose sum is σ = 326257883424. Its totient is φ = 14523826176.

The previous prime is 71263825891. The next prime is 71263825943. The reversal of 71263825920 is 2952836217.

71263825920 is a `hidden beast` number, since 7 + 1 + 2 + 638 + 2 + 5 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3750727671 + ... + 3750727689.

Almost surely, 2^71263825920 is an apocalyptic number.

71263825920 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 71263825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163128941712).

71263825920 is an abundant number, since it is smaller than the sum of its proper divisors (254994057504).

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

71263825920 is a wasteful number, since it uses less digits than its factorization.

71263825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 71263825920 in words is "seventy-one billion, two hundred sixty-three million, eight hundred twenty-five thousand, nine hundred twenty".