10273182192 has 240 divisors, whose sum is σ = 35543155648. Its totient is φ = 2697338880.

The previous prime is 10273182191. The next prime is 10273182193. The reversal of 10273182192 is 29128137201.

It is an interprime number because it is at equal distance from previous prime (10273182191) and next prime (10273182193).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10273182191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3156438 + ... + 3159690.

Almost surely, 2^10273182192 is an apocalyptic number.

10273182192 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 10273182192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771577824).

10273182192 is an abundant number, since it is smaller than the sum of its proper divisors (25269973456).

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

10273182192 is a wasteful number, since it uses less digits than its factorization.

10273182192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10273182192 in words is "ten billion, two hundred seventy-three million, one hundred eighty-two thousand, one hundred ninety-two".