71621853264000 has 2048 divisors, whose sum is σ = 301513101926400. Its totient is φ = 16554295296000.

The previous prime is 71621853263993. The next prime is 71621853264043. The reversal of 71621853264000 is 46235812617.

71621853264000 is a `hidden beast` number, since 7 + 1 + 6 + 218 + 5 + 3 + 26 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72272303505 + ... + 72272304495.

It is an arithmetic number, because the mean of its divisors is an integer number (147223194300).

Almost surely, 2^{71621853264000} 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 71621853264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150756550963200).

71621853264000 is an abundant number, since it is smaller than the sum of its proper divisors (229891248662400).

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

71621853264000 is a wasteful number, since it uses less digits than its factorization.

71621853264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 71621853264000 in words is "seventy-one trillion, six hundred twenty-one billion, eight hundred fifty-three million, two hundred sixty-four thousand".