2125524576000 has 1152 divisors, whose sum is σ = 8500781592576. Its totient is φ = 460220006400.

The previous prime is 2125524575971. The next prime is 2125524576101. The reversal of 2125524576000 is 6754255212.

It is a self number, because there is not a number n which added to its sum of digits gives 2125524576000.

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 127 ways as a sum of consecutive naturals, for example, 1746527392 + ... + 1746528608.

It is an arithmetic number, because the mean of its divisors is an integer number (7379150688).

Almost surely, 2^{2125524576000} is an apocalyptic number.

2125524576000 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 2125524576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250390796288).

2125524576000 is an abundant number, since it is smaller than the sum of its proper divisors (6375257016576).

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

2125524576000 is a wasteful number, since it uses less digits than its factorization.

2125524576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 2125524576000 in words is "two trillion, one hundred twenty-five billion, five hundred twenty-four million, five hundred seventy-six thousand".