2145025186560 has 144 divisors (see below), whose sum is σ = 7611860333280. Its totient is φ = 572006707200.

The previous prime is 2145025186541. The next prime is 2145025186561. The reversal of 2145025186560 is 656815205412.

2145025186560 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 0 + 2 + 5 + 1 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×2145025186560³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (2145025186561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30998791 + ... + 31067910.

Almost surely, 2^{2145025186560} is an apocalyptic number.

2145025186560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145025186560 is an abundant number, since it is smaller than the sum of its proper divisors (5466835146720).

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

2145025186560 is an equidigital number, since it uses as much as digits as its factorization.

2145025186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62066731 (or 62066711 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 2145025186560 in words is "two trillion, one hundred forty-five billion, twenty-five million, one hundred eighty-six thousand, five hundred sixty".