10158238681920 has 1344 divisors, whose sum is σ = 42027052953600. Its totient is φ = 2203151892480.

The previous prime is 10158238681919. The next prime is 10158238681933. The reversal of 10158238681920 is 2918683285101.

10158238681920 is a `hidden beast` number, since 1 + 0 + 1 + 582 + 38 + 6 + 8 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10250492625 + ... + 10250493615.

Almost surely, 2^{10158238681920} is an apocalyptic number.

10158238681920 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 10158238681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21013526476800).

10158238681920 is an abundant number, since it is smaller than the sum of its proper divisors (31868814271680).

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

10158238681920 is a wasteful number, since it uses less digits than its factorization.

10158238681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 10158238681920 in words is "ten trillion, one hundred fifty-eight billion, two hundred thirty-eight million, six hundred eighty-one thousand, nine hundred twenty".