2852750793600 has 1536 divisors, whose sum is σ = 11350416384000. Its totient is φ = 706513674240.

The previous prime is 2852750793583. The next prime is 2852750793611. The reversal of 2852750793600 is 63970572582.

2852750793600 is a `hidden beast` number, since 2 + 8 + 5 + 27 + 5 + 0 + 7 + 9 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5955638161 + ... + 5955638639.

It is an arithmetic number, because the mean of its divisors is an integer number (7389594000).

Almost surely, 2^{2852750793600} is an apocalyptic number.

2852750793600 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 2852750793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675208192000).

2852750793600 is an abundant number, since it is smaller than the sum of its proper divisors (8497665590400).

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

2852750793600 is an equidigital number, since it uses as much as digits as its factorization.

2852750793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

It can be divided in two parts, 2852750 and 793600, that added together give a triangular number (3646350 = T₂₇₀₀).

The spelling of 2852750793600 in words is "two trillion, eight hundred fifty-two billion, seven hundred fifty million, seven hundred ninety-three thousand, six hundred".