2853538848000 has 1152 divisors, whose sum is σ = 10780256148480. Its totient is φ = 743178240000.

The previous prime is 2853538847989. The next prime is 2853538848007. The reversal of 2853538848000 is 8488353582.

2853538848000 is a `hidden beast` number, since 2 + 85 + 3 + 5 + 3 + 88 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853538848007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11103263872 + ... + 11103264128.

It is an arithmetic number, because the mean of its divisors is an integer number (9357861240).

Almost surely, 2^{2853538848000} is an apocalyptic number.

2853538848000 is a gapful number since it is divisible by the number (20) 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 2853538848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390128074240).

2853538848000 is an abundant number, since it is smaller than the sum of its proper divisors (7926717300480).

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

2853538848000 is a wasteful number, since it uses less digits than its factorization.

2853538848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 2853538848000 in words is "two trillion, eight hundred fifty-three billion, five hundred thirty-eight million, eight hundred forty-eight thousand".