10151126352 has 120 divisors (see below), whose sum is σ = 29936580960. Its totient is φ = 3202156800.

The previous prime is 10151126303. The next prime is 10151126353. The reversal of 10151126352 is 25362115101.

10151126352 is a `hidden beast` number, since 1 + 0 + 15 + 1 + 12 + 635 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151126353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3968658 + ... + 3971214.

It is an arithmetic number, because the mean of its divisors is an integer number (249471508).

Almost surely, 2^10151126352 is an apocalyptic number.

10151126352 is a gapful number since it is divisible by the number (12) 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 10151126352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968290480).

10151126352 is an abundant number, since it is smaller than the sum of its proper divisors (19785454608).

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

10151126352 is a wasteful number, since it uses less digits than its factorization.

10151126352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

It can be divided in two parts, 10151 and 126352, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 10151126352 in words is "ten billion, one hundred fifty-one million, one hundred twenty-six thousand, three hundred fifty-two".