52180106711040 has 1872 divisors, whose sum is σ = 230162442269760. Its totient is φ = 10812582789120.

The previous prime is 52180106710999. The next prime is 52180106711069. The reversal of 52180106711040 is 4011760108125.

52180106711040 is a `hidden beast` number, since 521 + 8 + 0 + 10 + 6 + 7 + 110 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52180106710986 and 52180106711004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65470647922 + ... + 65470648718.

It is an arithmetic number, because the mean of its divisors is an integer number (122950022580).

Almost surely, 2^{52180106711040} 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 52180106711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115081221134880).

52180106711040 is an abundant number, since it is smaller than the sum of its proper divisors (177982335558720).

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

52180106711040 is a wasteful number, since it uses less digits than its factorization.

52180106711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 52180106711040 its reverse (4011760108125), we get a palindrome (56191866819165).

The spelling of 52180106711040 in words is "fifty-two trillion, one hundred eighty billion, one hundred six million, seven hundred eleven thousand, forty".