71172603648000 has 1152 divisors, whose sum is σ = 280999797624000. Its totient is φ = 17246689689600.

The previous prime is 71172603647941. The next prime is 71172603648019. The reversal of 71172603648000 is 84630627117.

71172603648000 is a `hidden beast` number, since 7 + 11 + 72 + 60 + 36 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1135840671 + ... + 1135903329.

Almost surely, 2^{71172603648000} 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 71172603648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140499898812000).

71172603648000 is an abundant number, since it is smaller than the sum of its proper divisors (209827193976000).

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

71172603648000 is a wasteful number, since it uses less digits than its factorization.

71172603648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62748 (or 62715 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 71172603648000 in words is "seventy-one trillion, one hundred seventy-two billion, six hundred three million, six hundred forty-eight thousand".