2125936612800 has 1008 divisors, whose sum is σ = 10145295992832. Its totient is φ = 407769292800.

The previous prime is 2125936612753. The next prime is 2125936612817. The reversal of 2125936612800 is 82166395212.

2125936612800 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 9 + 366 + 1 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14340657 + ... + 14488143.

Almost surely, 2^{2125936612800} is an apocalyptic number.

2125936612800 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 2125936612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072647996416).

2125936612800 is an abundant number, since it is smaller than the sum of its proper divisors (8019359380032).

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

2125936612800 is a wasteful number, since it uses less digits than its factorization.

2125936612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147546 (or 147528 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2125936612800 in words is "two trillion, one hundred twenty-five billion, nine hundred thirty-six million, six hundred twelve thousand, eight hundred".