2851749711360 has 960 divisors, whose sum is σ = 11214843704064. Its totient is φ = 688766976000.

The previous prime is 2851749711353. The next prime is 2851749711367. The reversal of 2851749711360 is 631179471582.

2851749711360 is a `hidden beast` number, since 2 + 8 + 5 + 17 + 497 + 1 + 136 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2851749711353) and next prime (2851749711367).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 2851749711297 and 2851749711306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2851749711367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2374478760 + ... + 2374479960.

It is a 1-persistent number, because it is pandigital, but 2⋅2851749711360 = 5703499422720 is not.

Almost surely, 2^{2851749711360} is an apocalyptic number.

2851749711360 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 2851749711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607421852032).

2851749711360 is an abundant number, since it is smaller than the sum of its proper divisors (8363093992704).

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

2851749711360 is a wasteful number, since it uses less digits than its factorization.

2851749711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 2851749711360 in words is "two trillion, eight hundred fifty-one billion, seven hundred forty-nine million, seven hundred eleven thousand, three hundred sixty".