2125509107904 has 1260 divisors, whose sum is σ = 8335119071664. Its totient is φ = 530772092928.

The previous prime is 2125509107903. The next prime is 2125509107921. The reversal of 2125509107904 is 4097019055212.

2125509107904 is a `hidden beast` number, since 2 + 1 + 2 + 550 + 9 + 1 + 0 + 7 + 90 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2125509107904.

It is not an unprimeable number, because it can be changed into a prime (2125509107903) 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 179 ways as a sum of consecutive naturals, for example, 1192096197 + ... + 1192097979.

Almost surely, 2^{2125509107904} is an apocalyptic number.

2125509107904 is a gapful number since it is divisible by the number (24) 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 2125509107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167559535832).

2125509107904 is an abundant number, since it is smaller than the sum of its proper divisors (6209609963760).

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

2125509107904 is a wasteful number, since it uses less digits than its factorization.

2125509107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 2125509107904 in words is "two trillion, one hundred twenty-five billion, five hundred nine million, one hundred seven thousand, nine hundred four".