71056172687040 has 336 divisors, whose sum is σ = 264475429440768. Its totient is φ = 18124472577024.

The previous prime is 71056172687009. The next prime is 71056172687077. The reversal of 71056172687040 is 4078627165017.

71056172687040 is a `hidden beast` number, since 7 + 1 + 0 + 561 + 7 + 2 + 6 + 8 + 70 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18076482 + ... + 21653441.

It is an arithmetic number, because the mean of its divisors is an integer number (787129254288).

Almost surely, 2^{71056172687040} is an apocalyptic number.

It is an amenable number.

71056172687040 is an abundant number, since it is smaller than the sum of its proper divisors (193419256753728).

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

71056172687040 is a wasteful number, since it uses less digits than its factorization.

71056172687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39729978 (or 39729956 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 71056172687040 in words is "seventy-one trillion, fifty-six billion, one hundred seventy-two million, six hundred eighty-seven thousand, forty".