10350054792 has 288 divisors, whose sum is σ = 35807728320. Its totient is φ = 2670554880.

The previous prime is 10350054791. The next prime is 10350054797. The reversal of 10350054792 is 29745005301.

10350054792 is a `hidden beast` number, since 10 + 3 + 500 + 54 + 7 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10350054791) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6480138 + ... + 6481734.

It is an arithmetic number, because the mean of its divisors is an integer number (124332390).

Almost surely, 2^10350054792 is an apocalyptic number.

10350054792 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 10350054792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17903864160).

10350054792 is an abundant number, since it is smaller than the sum of its proper divisors (25457673528).

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

10350054792 is a wasteful number, since it uses less digits than its factorization.

10350054792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10350054792 in words is "ten billion, three hundred fifty million, fifty-four thousand, seven hundred ninety-two".