10421638251892 has 96 divisors (see below), whose sum is σ = 21892114944000. Its totient is φ = 4244258042112.

The previous prime is 10421638251797. The next prime is 10421638251919. The reversal of 10421638251892 is 29815283612401.

It is a happy number.

It is a super-2 number, since 2×10421638251892² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120881433 + ... + 120967615.

It is an arithmetic number, because the mean of its divisors is an integer number (228042864000).

Almost surely, 2^{10421638251892} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10421638251892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946057472000).

10421638251892 is an abundant number, since it is smaller than the sum of its proper divisors (11470476692108).

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

10421638251892 is a wasteful number, since it uses less digits than its factorization.

10421638251892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87445 (or 87443 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 10421638251892 in words is "ten trillion, four hundred twenty-one billion, six hundred thirty-eight million, two hundred fifty-one thousand, eight hundred ninety-two".