10838374272 has 384 divisors, whose sum is σ = 36409201920. Its totient is φ = 3061555200.

The previous prime is 10838374241. The next prime is 10838374303. The reversal of 10838374272 is 27247383801.

10838374272 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 8 + 374 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (10838374241) and next prime (10838374303).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11949243 + ... + 11950149.

It is an arithmetic number, because the mean of its divisors is an integer number (94815630).

Almost surely, 2^10838374272 is an apocalyptic number.

10838374272 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 10838374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204600960).

10838374272 is an abundant number, since it is smaller than the sum of its proper divisors (25570827648).

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

10838374272 is a wasteful number, since it uses less digits than its factorization.

10838374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10838374272 in words is "ten billion, eight hundred thirty-eight million, three hundred seventy-four thousand, two hundred seventy-two".