10853407488000 has 2304 divisors, whose sum is σ = 46393908986880. Its totient is φ = 2227470336000.

The previous prime is 10853407487963. The next prime is 10853407488031. The reversal of 10853407488000 is 88470435801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64990463917 + ... + 64990464083.

It is an arithmetic number, because the mean of its divisors is an integer number (20136245220).

Almost surely, 2^{10853407488000} is an apocalyptic number.

10853407488000 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 10853407488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23196954493440).

10853407488000 is an abundant number, since it is smaller than the sum of its proper divisors (35540501498880).

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

10853407488000 is a wasteful number, since it uses less digits than its factorization.

10853407488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 10853407488000 in words is "ten trillion, eight hundred fifty-three billion, four hundred seven million, four hundred eighty-eight thousand".