51627792560 has 80 divisors (see below), whose sum is σ = 127470814560. Its totient is φ = 19391016960.

The previous prime is 51627792547. The next prime is 51627792581. The reversal of 51627792560 is 6529772615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 51627792499 and 51627792508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21470 + ... + 322050.

It is an arithmetic number, because the mean of its divisors is an integer number (1593385182).

Almost surely, 2^51627792560 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 51627792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63735407280).

51627792560 is an abundant number, since it is smaller than the sum of its proper divisors (75843022000).

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

51627792560 is a wasteful number, since it uses less digits than its factorization.

51627792560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300726 (or 300720 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 51627792560 in words is "fifty-one billion, six hundred twenty-seven million, seven hundred ninety-two thousand, five hundred sixty".