10952853408 has 288 divisors, whose sum is σ = 36462666240. Its totient is φ = 3054205440.

The previous prime is 10952853293. The next prime is 10952853409. The reversal of 10952853408 is 80435825901.

10952853408 is a `hidden beast` number, since 1 + 0 + 95 + 28 + 534 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (10952853409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17694123 + ... + 17694741.

It is an arithmetic number, because the mean of its divisors is an integer number (126606480).

Almost surely, 2^10952853408 is an apocalyptic number.

10952853408 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 10952853408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231333120).

10952853408 is an abundant number, since it is smaller than the sum of its proper divisors (25509812832).

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

10952853408 is a wasteful number, since it uses less digits than its factorization.

10952853408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10952853408 in words is "ten billion, nine hundred fifty-two million, eight hundred fifty-three thousand, four hundred eight".