10138966992 has 640 divisors, whose sum is σ = 37951856640. Its totient is φ = 2547417600.

The previous prime is 10138966987. The next prime is 10138966993. The reversal of 10138966992 is 29966983101.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10138966993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142802317 + ... + 142802387.

It is an arithmetic number, because the mean of its divisors is an integer number (59299776).

Almost surely, 2^10138966992 is an apocalyptic number.

10138966992 is a gapful number since it is divisible by the number (12) 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 10138966992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975928320).

10138966992 is an abundant number, since it is smaller than the sum of its proper divisors (27812889648).

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

10138966992 is an equidigital number, since it uses as much as digits as its factorization.

10138966992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 10138966992 in words is "ten billion, one hundred thirty-eight million, nine hundred sixty-six thousand, nine hundred ninety-two".