56001038671872 has 672 divisors, whose sum is σ = 186435532867584. Its totient is φ = 15866324582400.

The previous prime is 56001038671859. The next prime is 56001038671891. The reversal of 56001038671872 is 27817683010065.

It is a happy number.

56001038671872 is a `hidden beast` number, since 5 + 600 + 10 + 3 + 8 + 6 + 7 + 18 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×56001038671872³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45492313497 + ... + 45492314727.

It is an arithmetic number, because the mean of its divisors is an integer number (277433828672).

Almost surely, 2^{56001038671872} 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 56001038671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93217766433792).

56001038671872 is an abundant number, since it is smaller than the sum of its proper divisors (130434494195712).

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

56001038671872 is a wasteful number, since it uses less digits than its factorization.

56001038671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 56001038671872 in words is "fifty-six trillion, one billion, thirty-eight million, six hundred seventy-one thousand, eight hundred seventy-two".