10857844247040 has 1600 divisors, whose sum is σ = 46769012091648. Its totient is φ = 2355344179200.

The previous prime is 10857844247027. The next prime is 10857844247051. The reversal of 10857844247040 is 4074244875801.

It is a happy number.

10857844247040 is a `hidden beast` number, since 1 + 0 + 8 + 57 + 84 + 4 + 2 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2201953375 + ... + 2201958305.

Almost surely, 2^{10857844247040} is an apocalyptic number.

10857844247040 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 10857844247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384506045824).

10857844247040 is an abundant number, since it is smaller than the sum of its proper divisors (35911167844608).

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

10857844247040 is an equidigital number, since it uses as much as digits as its factorization.

10857844247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 10857844247040 in words is "ten trillion, eight hundred fifty-seven billion, eight hundred forty-four million, two hundred forty-seven thousand, forty".