51584956644 has 96 divisors (see below), whose sum is σ = 130877824000. Its totient is φ = 15719308416.

The previous prime is 51584956609. The next prime is 51584956651. The reversal of 51584956644 is 44665948515.

It is a super-2 number, since 2×51584956644² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9516567 + ... + 9521985.

Almost surely, 2^51584956644 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 51584956644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65438912000).

51584956644 is an abundant number, since it is smaller than the sum of its proper divisors (79292867356).

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

51584956644 is a wasteful number, since it uses less digits than its factorization.

51584956644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6015 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 57.

The spelling of 51584956644 in words is "fifty-one billion, five hundred eighty-four million, nine hundred fifty-six thousand, six hundred forty-four".