51144100432 has 80 divisors (see below), whose sum is σ = 106167236112. Its totient is φ = 23782809600.

The previous prime is 51144100417. The next prime is 51144100433. The reversal of 51144100432 is 23400144115.

It can be written as a sum of positive squares in 8 ways, for example, as 3595681296 + 47548419136 = 59964^2 + 218056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51144100397 and 51144100406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51144100433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16838818 + ... + 16841854.

Almost surely, 2^51144100432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51144100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53083618056).

51144100432 is an abundant number, since it is smaller than the sum of its proper divisors (55023135680).

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

51144100432 is a wasteful number, since it uses less digits than its factorization.

51144100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 51144100432 its reverse (23400144115), we get a palindrome (74544244547).

The spelling of 51144100432 in words is "fifty-one billion, one hundred forty-four million, one hundred thousand, four hundred thirty-two".