10210352452000 has 192 divisors, whose sum is σ = 25295914635264. Its totient is φ = 4050132710400.

The previous prime is 10210352451961. The next prime is 10210352452019. The reversal of 10210352452000 is 25425301201.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 1835401219 + ... + 1835406781.

It is an arithmetic number, because the mean of its divisors is an integer number (131749555392).

Almost surely, 2^{10210352452000} is an apocalyptic number.

10210352452000 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 10210352452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647957317632).

10210352452000 is an abundant number, since it is smaller than the sum of its proper divisors (15085562183264).

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

10210352452000 is a wasteful number, since it uses less digits than its factorization.

10210352452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10210352452000 its reverse (25425301201), we get a palindrome (10235777753201).

The spelling of 10210352452000 in words is "ten trillion, two hundred ten billion, three hundred fifty-two million, four hundred fifty-two thousand".