10056005056110 has 64 divisors (see below), whose sum is σ = 25991234777088. Its totient is φ = 2475292950144.

The previous prime is 10056005056103. The next prime is 10056005056121. The reversal of 10056005056110 is 1165050065001.

It is a super-3 number, since 3×10056005056110³ (a number of 40 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51844569 + ... + 52038171.

It is an arithmetic number, because the mean of its divisors is an integer number (406113043392).

Almost surely, 2^{10056005056110} is an apocalyptic number.

10056005056110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10056005056110 is an abundant number, since it is smaller than the sum of its proper divisors (15935229720978).

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

10056005056110 is a wasteful number, since it uses less digits than its factorization.

10056005056110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326809.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10056005056110 in words is "ten trillion, fifty-six billion, five million, fifty-six thousand, one hundred ten".