2123625288960 has 2304 divisors, whose sum is σ = 9354939955200. Its totient is φ = 451480780800.

The previous prime is 2123625288913. The next prime is 2123625288973. The reversal of 2123625288960 is 698825263212.

2123625288960 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 625 + 2 + 8 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 2123625288897 and 2123625288906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21025992910 + ... + 21025993010.

It is an arithmetic number, because the mean of its divisors is an integer number (4060303800).

Almost surely, 2^{2123625288960} is an apocalyptic number.

2123625288960 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 2123625288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677469977600).

2123625288960 is an abundant number, since it is smaller than the sum of its proper divisors (7231314666240).

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

2123625288960 is an equidigital number, since it uses as much as digits as its factorization.

2123625288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2123625288960 in words is "two trillion, one hundred twenty-three billion, six hundred twenty-five million, two hundred eighty-eight thousand, nine hundred sixty".