52101058464 has 576 divisors, whose sum is σ = 191241872640. Its totient is φ = 13604889600.

The previous prime is 52101058463. The next prime is 52101058519. The reversal of 52101058464 is 46485010125.

It is a happy number.

52101058464 is a `hidden beast` number, since 5 + 2 + 1 + 0 + 10 + 584 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52101058463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 515852014 + ... + 515852114.

It is an arithmetic number, because the mean of its divisors is an integer number (332017140).

Almost surely, 2^52101058464 is an apocalyptic number.

52101058464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52101058464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95620936320).

52101058464 is an abundant number, since it is smaller than the sum of its proper divisors (139140814176).

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

52101058464 is an equidigital number, since it uses as much as digits as its factorization.

52101058464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 52101058464 its reverse (46485010125), we get a palindrome (98586068589).

The spelling of 52101058464 in words is "fifty-two billion, one hundred one million, fifty-eight thousand, four hundred sixty-four".