51559619005440 has 3168 divisors, whose sum is σ = 235802576265984. Its totient is φ = 10705110958080.

The previous prime is 51559619005421. The next prime is 51559619005441. The reversal of 51559619005440 is 4450091695515.

51559619005440 is a `hidden beast` number, since 5 + 1 + 5 + 5 + 9 + 6 + 1 + 90 + 0 + 544 + 0 = 666.

It is a super-2 number, since 2×51559619005440² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51559619005441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53099504155 + ... + 53099505125.

Almost surely, 2^{51559619005440} 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 51559619005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117901288132992).

51559619005440 is an abundant number, since it is smaller than the sum of its proper divisors (184242957260544).

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

51559619005440 is a wasteful number, since it uses less digits than its factorization.

51559619005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 51559619005440 in words is "fifty-one trillion, five hundred fifty-nine billion, six hundred nineteen million, five thousand, four hundred forty".