10052512452000 has 576 divisors, whose sum is σ = 37036739376000. Its totient is φ = 2677842892800.

The previous prime is 10052512451981. The next prime is 10052512452061. The reversal of 10052512452000 is 25421525001.

10052512452000 is a `hidden beast` number, since 10 + 0 + 5 + 2 + 5 + 124 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1019623071 + ... + 1019632929.

It is an arithmetic number, because the mean of its divisors is an integer number (64299894750).

Almost surely, 2^{10052512452000} is an apocalyptic number.

10052512452000 is a gapful number since it is divisible by the number (10) 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 10052512452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18518369688000).

10052512452000 is an abundant number, since it is smaller than the sum of its proper divisors (26984226924000).

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

10052512452000 is an equidigital number, since it uses as much as digits as its factorization.

10052512452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 10052512452000 its reverse (25421525001), we get a palindrome (10077933977001).

The spelling of 10052512452000 in words is "ten trillion, fifty-two billion, five hundred twelve million, four hundred fifty-two thousand".