71791017984000 has 3168 divisors, whose sum is σ = 325815604523136. Its totient is φ = 15695924428800.

The previous prime is 71791017983989. The next prime is 71791017984073. The reversal of 71791017984000 is 48971019717.

It is a happy number.

71791017984000 is a `hidden beast` number, since 71 + 79 + 1 + 0 + 17 + 98 + 400 + 0 = 666.

It is a super-2 number, since 2×71791017984000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3121348607989 + ... + 3121348608011.

Almost surely, 2^{71791017984000} is an apocalyptic number.

71791017984000 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 71791017984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162907802261568).

71791017984000 is an abundant number, since it is smaller than the sum of its proper divisors (254024586539136).

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

71791017984000 is an frugal number, since it uses more digits than its factorization.

71791017984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 71791017984000 in words is "seventy-one trillion, seven hundred ninety-one billion, seventeen million, nine hundred eighty-four thousand".