10851934428 has 288 divisors, whose sum is σ = 31418150400. Its totient is φ = 3139817472.

The previous prime is 10851934397. The next prime is 10851934439. The reversal of 10851934428 is 82443915801.

10851934428 is a `hidden beast` number, since 10 + 8 + 5 + 193 + 442 + 8 = 666.

It is a super-2 number, since 2×10851934428² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60625243 + ... + 60625421.

It is an arithmetic number, because the mean of its divisors is an integer number (109090800).

Almost surely, 2^10851934428 is an apocalyptic number.

10851934428 is a gapful number since it is divisible by the number (18) 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 10851934428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709075200).

10851934428 is an abundant number, since it is smaller than the sum of its proper divisors (20566215972).

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

10851934428 is a wasteful number, since it uses less digits than its factorization.

10851934428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10851934428 in words is "ten billion, eight hundred fifty-one million, nine hundred thirty-four thousand, four hundred twenty-eight".