2550738456000 has 1344 divisors, whose sum is σ = 10932967858176. Its totient is φ = 555033600000.

The previous prime is 2550738455989. The next prime is 2550738456053. The reversal of 2550738456000 is 6548370552.

2550738456000 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 7 + 3 + 84 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3396455625 + ... + 3396456375.

It is an arithmetic number, because the mean of its divisors is an integer number (8134648704).

Almost surely, 2^{2550738456000} is an apocalyptic number.

2550738456000 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 2550738456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466483929088).

2550738456000 is an abundant number, since it is smaller than the sum of its proper divisors (8382229402176).

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

2550738456000 is a wasteful number, since it uses less digits than its factorization.

2550738456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2550738456000 in words is "two trillion, five hundred fifty billion, seven hundred thirty-eight million, four hundred fifty-six thousand".