10052512424352 has 384 divisors, whose sum is σ = 31214857766400. Its totient is φ = 3136466976768.

The previous prime is 10052512424329. The next prime is 10052512424387. The reversal of 10052512424352 is 25342421525001.

10052512424352 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 512 + 4 + 2 + 43 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2902831773 + ... + 2902835235.

It is an arithmetic number, because the mean of its divisors is an integer number (81288692100).

Almost surely, 2^{10052512424352} is an apocalyptic number.

10052512424352 is a gapful number since it is divisible by the number (12) 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 10052512424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607428883200).

10052512424352 is an abundant number, since it is smaller than the sum of its proper divisors (21162345342048).

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

10052512424352 is a wasteful number, since it uses less digits than its factorization.

10052512424352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 10052512424352 its reverse (25342421525001), we get a palindrome (35394933949353).

The spelling of 10052512424352 in words is "ten trillion, fifty-two billion, five hundred twelve million, four hundred twenty-four thousand, three hundred fifty-two".