10027354953 has 192 divisors, whose sum is σ = 19055001600. Its totient is φ = 4628736000.

The previous prime is 10027354933. The next prime is 10027355003. The reversal of 10027354953 is 35945372001.

It is a happy number.

10027354953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10027354953 - 2⁸ = 10027354697 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027354933) 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 191 ways as a sum of consecutive naturals, for example, 244569613 + ... + 244569653.

It is an arithmetic number, because the mean of its divisors is an integer number (99244800).

Almost surely, 2^10027354953 is an apocalyptic number.

It is an amenable number.

10027354953 is a deficient number, since it is larger than the sum of its proper divisors (9027646647).

10027354953 is a wasteful number, since it uses less digits than its factorization.

10027354953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 10027354953 in words is "ten billion, twenty-seven million, three hundred fifty-four thousand, nine hundred fifty-three".