71425065600 has 576 divisors, whose sum is σ = 304090804800. Its totient is φ = 16324761600.

The previous prime is 71425065541. The next prime is 71425065641. The reversal of 71425065600 is 656052417.

It is a happy number.

71425065600 is a `hidden beast` number, since 7 + 1 + 42 + 5 + 0 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4225165 + ... + 4242035.

It is an arithmetic number, because the mean of its divisors is an integer number (527935425).

Almost surely, 2^71425065600 is an apocalyptic number.

71425065600 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 71425065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152045402400).

71425065600 is an abundant number, since it is smaller than the sum of its proper divisors (232665739200).

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

71425065600 is a wasteful number, since it uses less digits than its factorization.

71425065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16918 (or 16888 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 71425065600 in words is "seventy-one billion, four hundred twenty-five million, sixty-five thousand, six hundred".