10251552432 has 160 divisors (see below), whose sum is σ = 31645831680. Its totient is φ = 2822901760.

The previous prime is 10251552431. The next prime is 10251552491. The reversal of 10251552432 is 23425515201.

It is a super-2 number, since 2×10251552432² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10251552432.

It is not an unprimeable number, because it can be changed into a prime (10251552431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 240613 + ... + 279995.

It is an arithmetic number, because the mean of its divisors is an integer number (197786448).

Almost surely, 2^10251552432 is an apocalyptic number.

10251552432 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 10251552432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15822915840).

10251552432 is an abundant number, since it is smaller than the sum of its proper divisors (21394279248).

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

10251552432 is a wasteful number, since it uses less digits than its factorization.

10251552432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39451 (or 39445 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 10251552432 in words is "ten billion, two hundred fifty-one million, five hundred fifty-two thousand, four hundred thirty-two".