102288580452680 has 64 divisors (see below), whose sum is σ = 230682047904000. Its totient is φ = 40820729382144.

The previous prime is 102288580452649. The next prime is 102288580452713. The reversal of 102288580452680 is 86254085882201.

It is a super-4 number, since 4×102288580452680⁴ (a number of 57 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 561073781 + ... + 561256059.

It is an arithmetic number, because the mean of its divisors is an integer number (3604406998500).

Almost surely, 2^{102288580452680} is an apocalyptic number.

102288580452680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102288580452680 is an abundant number, since it is smaller than the sum of its proper divisors (128393467451320).

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

102288580452680 is a wasteful number, since it uses less digits than its factorization.

102288580452680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214686 (or 214682 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 59.

The spelling of 102288580452680 in words is "one hundred two trillion, two hundred eighty-eight billion, five hundred eighty million, four hundred fifty-two thousand, six hundred eighty".