10151127056 has 80 divisors (see below), whose sum is σ = 23280652800. Its totient is φ = 4195398144.

The previous prime is 10151127031. The next prime is 10151127137. The reversal of 10151127056 is 65072115101.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3990521 + ... + 3993063.

It is an arithmetic number, because the mean of its divisors is an integer number (291008160).

Almost surely, 2^10151127056 is an apocalyptic number.

10151127056 is a gapful number since it is divisible by the number (16) 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 10151127056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640326400).

10151127056 is an abundant number, since it is smaller than the sum of its proper divisors (13129525744).

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

10151127056 is a wasteful number, since it uses less digits than its factorization.

10151127056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 29.

The spelling of 10151127056 in words is "ten billion, one hundred fifty-one million, one hundred twenty-seven thousand, fifty-six".