10851049440 has 384 divisors, whose sum is σ = 47351485440. Its totient is φ = 2254694400.

The previous prime is 10851049423. The next prime is 10851049453. The reversal of 10851049440 is 4494015801.

10851049440 is a `hidden beast` number, since 10 + 8 + 510 + 4 + 94 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10851049395 and 10851049404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316330 + ... + 348950.

It is an arithmetic number, because the mean of its divisors is an integer number (123311160).

Almost surely, 2^10851049440 is an apocalyptic number.

10851049440 is a gapful number since it is divisible by the number (10) 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 10851049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675742720).

10851049440 is an abundant number, since it is smaller than the sum of its proper divisors (36500436000).

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

10851049440 is a wasteful number, since it uses less digits than its factorization.

10851049440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32663 (or 32649 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

It can be divided in two parts, 1085 and 1049440, that added together give a triangular number (1050525 = T₁₄₄₉).

The spelling of 10851049440 in words is "ten billion, eight hundred fifty-one million, forty-nine thousand, four hundred forty".