10380555780480 has 192 divisors, whose sum is σ = 37001659144320. Its totient is φ = 2678853058560.

The previous prime is 10380555780467. The next prime is 10380555780481. The reversal of 10380555780480 is 8408755508301.

10380555780480 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 5 + 557 + 8 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380555780481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28888857 + ... + 29245976.

It is an arithmetic number, because the mean of its divisors is an integer number (192716974710).

Almost surely, 2^{10380555780480} is an apocalyptic number.

10380555780480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10380555780480 is an abundant number, since it is smaller than the sum of its proper divisors (26621103363840).

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

10380555780480 is a wasteful number, since it uses less digits than its factorization.

10380555780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58134889 (or 58134874 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 10380555780480 in words is "ten trillion, three hundred eighty billion, five hundred fifty-five million, seven hundred eighty thousand, four hundred eighty".