2752145550000 has 720 divisors, whose sum is σ = 12002788272384. Its totient is φ = 571867200000.

The previous prime is 2752145549929. The next prime is 2752145550013. The reversal of 2752145550000 is 555412572.

2752145550000 is a `hidden beast` number, since 2 + 7 + 5 + 2 + 145 + 5 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-5 number, since 5×2752145550000⁵ (a number of 63 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34610287 + ... + 34689713.

Almost surely, 2^{2752145550000} is an apocalyptic number.

2752145550000 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 2752145550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001394136192).

2752145550000 is an abundant number, since it is smaller than the sum of its proper divisors (9250642722384).

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

2752145550000 is a wasteful number, since it uses less digits than its factorization.

2752145550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79484 (or 79455 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 2752145550000 in words is "two trillion, seven hundred fifty-two billion, one hundred forty-five million, five hundred fifty thousand".