71222860800 has 1584 divisors, whose sum is σ = 325224739840. Its totient is φ = 14491975680.

The previous prime is 71222860789. The next prime is 71222860811. The reversal of 71222860800 is 806822217.

It is a happy number.

71222860800 is a `hidden beast` number, since 7 + 1 + 22 + 28 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71222860789) and next prime (71222860811).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 901555161 + ... + 901555239.

Almost surely, 2^71222860800 is an apocalyptic number.

71222860800 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 71222860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162612369920).

71222860800 is an abundant number, since it is smaller than the sum of its proper divisors (254001879040).

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

71222860800 is a wasteful number, since it uses less digits than its factorization.

71222860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 71222860800 in words is "seventy-one billion, two hundred twenty-two million, eight hundred sixty thousand, eight hundred".