10252153045200 has 240 divisors, whose sum is σ = 37062016718400. Its totient is φ = 2399667916800.

The previous prime is 10252153045151. The next prime is 10252153045207. The reversal of 10252153045200 is 254035125201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252153045207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13008205 + ... + 13773804.

It is an arithmetic number, because the mean of its divisors is an integer number (154425069660).

Almost surely, 2^{10252153045200} is an apocalyptic number.

10252153045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10252153045200 is an abundant number, since it is smaller than the sum of its proper divisors (26809863673200).

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

10252153045200 is a wasteful number, since it uses less digits than its factorization.

10252153045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26782070 (or 26782059 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 10252153045200 in words is "ten trillion, two hundred fifty-two billion, one hundred fifty-three million, forty-five thousand, two hundred".