10056951144 has 32 divisors (see below), whose sum is σ = 27935976000. Its totient is φ = 3352316976.

The previous prime is 10056951109. The next prime is 10056951217. The reversal of 10056951144 is 44115965001.

10056951144 is a `hidden beast` number, since 1 + 0 + 0 + 569 + 51 + 1 + 44 = 666.

10056951144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056951144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10056951099 and 10056951108.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23279764 + ... + 23280195.

It is an arithmetic number, because the mean of its divisors is an integer number (872999250).

Almost surely, 2^10056951144 is an apocalyptic number.

It is an amenable number.

10056951144 is an abundant number, since it is smaller than the sum of its proper divisors (17879024856).

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

10056951144 is a wasteful number, since it uses less digits than its factorization.

10056951144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46559974 (or 46559964 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10056951144 in words is "ten billion, fifty-six million, nine hundred fifty-one thousand, one hundred forty-four".