2753989056000 has 960 divisors, whose sum is σ = 12208665845376. Its totient is φ = 581050368000.

The previous prime is 2753989055947. The next prime is 2753989056011. The reversal of 2753989056000 is 6509893572.

2753989056000 is a `hidden beast` number, since 2 + 75 + 3 + 9 + 8 + 9 + 0 + 560 + 0 + 0 = 666.

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

It is a super-2 number, since 2×2753989056000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52389730 + ... + 52442270.

Almost surely, 2^{2753989056000} is an apocalyptic number.

2753989056000 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 2753989056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104332922688).

2753989056000 is an abundant number, since it is smaller than the sum of its proper divisors (9454676789376).

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

2753989056000 is a wasteful number, since it uses less digits than its factorization.

2753989056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52600 (or 52571 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 2753989056000 in words is "two trillion, seven hundred fifty-three billion, nine hundred eighty-nine million, fifty-six thousand".