10853257680 has 240 divisors, whose sum is σ = 37256544000. Its totient is φ = 2830593024.

The previous prime is 10853257669. The next prime is 10853257721. The reversal of 10853257680 is 8675235801.

10853257680 is a `hidden beast` number, since 1 + 0 + 8 + 532 + 57 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10152186 + ... + 10153254.

It is an arithmetic number, because the mean of its divisors is an integer number (155235600).

Almost surely, 2^10853257680 is an apocalyptic number.

10853257680 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 10853257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18628272000).

10853257680 is an abundant number, since it is smaller than the sum of its proper divisors (26403286320).

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

10853257680 is a wasteful number, since it uses less digits than its factorization.

10853257680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10853257680 in words is "ten billion, eight hundred fifty-three million, two hundred fifty-seven thousand, six hundred eighty".