10056377508880 has 40 divisors (see below), whose sum is σ = 24135306027264. Its totient is φ = 3892791292800.

The previous prime is 10056377508811. The next prime is 10056377508943. The reversal of 10056377508880 is 8880577365001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10056377508880² (a number of 27 digits) contains 22 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 7 ways as a sum of consecutive naturals, for example, 2027492986 + ... + 2027497945.

Almost surely, 2^{10056377508880} is an apocalyptic number.

10056377508880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056377508880 is an abundant number, since it is smaller than the sum of its proper divisors (14078928518384).

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

10056377508880 is a wasteful number, since it uses less digits than its factorization.

10056377508880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054990975 (or 4054990969 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 58.

The spelling of 10056377508880 in words is "ten trillion, fifty-six billion, three hundred seventy-seven million, five hundred eight thousand, eight hundred eighty".