10153244200032 has 72 divisors (see below), whose sum is σ = 28875707930160. Its totient is φ = 3384131101440.

The previous prime is 10153244200009. The next prime is 10153244200039. The reversal of 10153244200032 is 23000244235101.

10153244200032 is a `hidden beast` number, since 101 + 5 + 324 + 4 + 200 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 10153244199969 and 10153244200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153244200039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1979269 + ... + 4921787.

It is an arithmetic number, because the mean of its divisors is an integer number (401051499030).

Almost surely, 2^{10153244200032} is an apocalyptic number.

10153244200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10153244200032 is an abundant number, since it is smaller than the sum of its proper divisors (18722463730128).

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

10153244200032 is a wasteful number, since it uses less digits than its factorization.

10153244200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954516 (or 2954505 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10153244200032 its reverse (23000244235101), we get a palindrome (33153488435133).

The spelling of 10153244200032 in words is "ten trillion, one hundred fifty-three billion, two hundred forty-four million, two hundred thousand, thirty-two".