10056351744 has 240 divisors, whose sum is σ = 30198067200. Its totient is φ = 3307143168.

The previous prime is 10056351727. The next prime is 10056351761. The reversal of 10056351744 is 44715365001.

10056351744 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 635 + 17 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10056351727) and next prime (10056351761).

It is a super-2 number, since 2×10056351744² (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 = 10056351699 and 10056351708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56180647 + ... + 56180825.

It is an arithmetic number, because the mean of its divisors is an integer number (125825280).

Almost surely, 2^10056351744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056351744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099033600).

10056351744 is an abundant number, since it is smaller than the sum of its proper divisors (20141715456).

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

10056351744 is an equidigital number, since it uses as much as digits as its factorization.

10056351744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10056351744 in words is "ten billion, fifty-six million, three hundred fifty-one thousand, seven hundred forty-four".