2125476460800 has 1728 divisors, whose sum is σ = 10032477880320. Its totient is φ = 427327488000.

The previous prime is 2125476460799. The next prime is 2125476460801. The reversal of 2125476460800 is 80646745212.

2125476460800 is a `hidden beast` number, since 21 + 2 + 547 + 6 + 4 + 6 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2125476460799) and next prime (2125476460801).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (2125476460801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412471024 + ... + 412476176.

Almost surely, 2^{2125476460800} is an apocalyptic number.

2125476460800 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 2125476460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016238940160).

2125476460800 is an abundant number, since it is smaller than the sum of its proper divisors (7907001419520).

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

2125476460800 is a wasteful number, since it uses less digits than its factorization.

2125476460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2125476460800 in words is "two trillion, one hundred twenty-five billion, four hundred seventy-six million, four hundred sixty thousand, eight hundred".