51164225442540 has 576 divisors, whose sum is σ = 198016066160640. Its totient is φ = 10423731732480.

The previous prime is 51164225442529. The next prime is 51164225442541. The reversal of 51164225442540 is 4524452246115.

51164225442540 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 42 + 2 + 544 + 25 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51164225442541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32826172 + ... + 34349468.

It is an arithmetic number, because the mean of its divisors is an integer number (343777892640).

Almost surely, 2^{51164225442540} 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 51164225442540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99008033080320).

51164225442540 is an abundant number, since it is smaller than the sum of its proper divisors (146851840718100).

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

51164225442540 is a wasteful number, since it uses less digits than its factorization.

51164225442540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523422 (or 1523417 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 51164225442540 its reverse (4524452246115), we get a palindrome (55688677688655).

The spelling of 51164225442540 in words is "fifty-one trillion, one hundred sixty-four billion, two hundred twenty-five million, four hundred forty-two thousand, five hundred forty".