10200555432 has 96 divisors (see below), whose sum is σ = 28117140480. Its totient is φ = 3340085760.

The previous prime is 10200555427. The next prime is 10200555571. The reversal of 10200555432 is 23455500201.

It is a happy number.

10200555432 is a `hidden beast` number, since 102 + 0 + 0 + 5 + 554 + 3 + 2 = 666.

It is a super-2 number, since 2×10200555432² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200555396 and 10200555405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844832 + ... + 1850352.

It is an arithmetic number, because the mean of its divisors is an integer number (292886880).

Almost surely, 2^10200555432 is an apocalyptic number.

10200555432 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 10200555432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14058570240).

10200555432 is an abundant number, since it is smaller than the sum of its proper divisors (17916585048).

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

10200555432 is a wasteful number, since it uses less digits than its factorization.

10200555432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10200555432 in words is "ten billion, two hundred million, five hundred fifty-five thousand, four hundred thirty-two".