432167765010 has 128 divisors (see below), whose sum is σ = 1079760374784. Its totient is φ = 110628218880.

The previous prime is 432167764997. The next prime is 432167765011. The reversal of 432167765010 is 10567761234.

It is a happy number.

It is a super-2 number, since 2×432167765010² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432167765011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 18618732 + ... + 18641928.

It is an arithmetic number, because the mean of its divisors is an integer number (8435627928).

Almost surely, 2^432167765010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432167765010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539880187392).

432167765010 is an abundant number, since it is smaller than the sum of its proper divisors (647592609774).

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

432167765010 is a wasteful number, since it uses less digits than its factorization.

432167765010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23508.

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 432167765010 in words is "four hundred thirty-two billion, one hundred sixty-seven million, seven hundred sixty-five thousand, ten".