71950028544000 has 384 divisors, whose sum is σ = 265990287326400. Its totient is φ = 19186672435200.

The previous prime is 71950028543999. The next prime is 71950028544061. The reversal of 71950028544000 is 44582005917.

71950028544000 is a `hidden beast` number, since 7 + 195 + 0 + 0 + 2 + 8 + 54 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 1707282 + ... + 12116718.

Almost surely, 2^{71950028544000} 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 71950028544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132995143663200).

71950028544000 is an abundant number, since it is smaller than the sum of its proper divisors (194040258782400).

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

71950028544000 is a wasteful number, since it uses less digits than its factorization.

71950028544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409483 (or 10409447 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 71950028544000 in words is "seventy-one trillion, nine hundred fifty billion, twenty-eight million, five hundred forty-four thousand".