71056056231936 has 384 divisors, whose sum is σ = 218178533664000. Its totient is φ = 22822892273664.

The previous prime is 71056056231889. The next prime is 71056056231961. The reversal of 71056056231936 is 63913265065017.

71056056231936 is a `hidden beast` number, since 7 + 1 + 0 + 5 + 6 + 0 + 5 + 623 + 1 + 9 + 3 + 6 = 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 (54).

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, 806558706 + ... + 806646798.

It is an arithmetic number, because the mean of its divisors is an integer number (568173264750).

Almost surely, 2^{71056056231936} 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 71056056231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109089266832000).

71056056231936 is an abundant number, since it is smaller than the sum of its proper divisors (147122477432064).

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

71056056231936 is a wasteful number, since it uses less digits than its factorization.

71056056231936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88656 (or 88630 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 71056056231936 in words is "seventy-one trillion, fifty-six billion, fifty-six million, two hundred thirty-one thousand, nine hundred thirty-six".