10351127640 has 64 divisors (see below), whose sum is σ = 35489583360. Its totient is φ = 2365971840.

The previous prime is 10351127639. The next prime is 10351127663. The reversal of 10351127640 is 4672115301.

10351127640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10351127598 and 10351127607.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6160546 + ... + 6162225.

It is an arithmetic number, because the mean of its divisors is an integer number (554524740).

Almost surely, 2^10351127640 is an apocalyptic number.

10351127640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10351127640 is an abundant number, since it is smaller than the sum of its proper divisors (25138455720).

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

10351127640 is a wasteful number, since it uses less digits than its factorization.

10351127640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322792 (or 12322788 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10351127640 in words is "ten billion, three hundred fifty-one million, one hundred twenty-seven thousand, six hundred forty".