52005105121464 has 192 divisors, whose sum is σ = 154252957098240. Its totient is φ = 15697496839680.

The previous prime is 52005105121439. The next prime is 52005105121517. The reversal of 52005105121464 is 46412150150025.

52005105121464 is a `hidden beast` number, since 5 + 20 + 0 + 51 + 0 + 5 + 121 + 464 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375101884 + ... + 375240500.

It is an arithmetic number, because the mean of its divisors is an integer number (803400818220).

Almost surely, 2^{52005105121464} 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 52005105121464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77126478549120).

52005105121464 is an abundant number, since it is smaller than the sum of its proper divisors (102247851976776).

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

52005105121464 is a wasteful number, since it uses less digits than its factorization.

52005105121464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140490 (or 140483 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 52005105121464 its reverse (46412150150025), we get a palindrome (98417255271489).

The spelling of 52005105121464 in words is "fifty-two trillion, five billion, one hundred five million, one hundred twenty-one thousand, four hundred sixty-four".