71254664400 has 120 divisors (see below), whose sum is σ = 229258835424. Its totient is φ = 18917465600.

The previous prime is 71254664387. The next prime is 71254664431. The reversal of 71254664400 is 446645217.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 141610 + ... + 403190.

Almost surely, 2^71254664400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71254664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114629417712).

71254664400 is an abundant number, since it is smaller than the sum of its proper divisors (158004171024).

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

71254664400 is a wasteful number, since it uses less digits than its factorization.

71254664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261829 (or 261818 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 71254664400 in words is "seventy-one billion, two hundred fifty-four million, six hundred sixty-four thousand, four hundred".