2553765067500 has 240 divisors, whose sum is σ = 7665129373440. Its totient is φ = 661057632000.

The previous prime is 2553765067493. The next prime is 2553765067501. The reversal of 2553765067500 is 57605673552.

It is not an unprimeable number, because it can be changed into a prime (2553765067501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121812019 + ... + 121832981.

It is an arithmetic number, because the mean of its divisors is an integer number (31938039056).

Almost surely, 2^{2553765067500} is an apocalyptic number.

2553765067500 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 2553765067500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832564686720).

2553765067500 is an abundant number, since it is smaller than the sum of its proper divisors (5111364305940).

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

2553765067500 is a wasteful number, since it uses less digits than its factorization.

2553765067500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21466 (or 21449 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 51.

The spelling of 2553765067500 in words is "two trillion, five hundred fifty-three billion, seven hundred sixty-five million, sixty-seven thousand, five hundred".