10056186780 has 96 divisors (see below), whose sum is σ = 28620044544. Its totient is φ = 2637702144.

The previous prime is 10056186709. The next prime is 10056186793. The reversal of 10056186780 is 8768165001.

It is a super-4 number, since 4×10056186780⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3548244 + ... + 3551076.

It is an arithmetic number, because the mean of its divisors is an integer number (298125464).

Almost surely, 2^10056186780 is an apocalyptic number.

10056186780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056186780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310022272).

10056186780 is an abundant number, since it is smaller than the sum of its proper divisors (18563857764).

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

10056186780 is a wasteful number, since it uses less digits than its factorization.

10056186780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 10056186780 in words is "ten billion, fifty-six million, one hundred eighty-six thousand, seven hundred eighty".