10232780544 has 432 divisors, whose sum is σ = 35730673440. Its totient is φ = 2915813376.

The previous prime is 10232780531. The next prime is 10232780549. The reversal of 10232780544 is 44508723201.

It is a happy number.

10232780544 is a `hidden beast` number, since 1 + 0 + 2 + 32 + 7 + 80 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10232780499 and 10232780508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232780549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27433542 + ... + 27433914.

Almost surely, 2^10232780544 is an apocalyptic number.

10232780544 is a gapful number since it is divisible by the number (14) 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 10232780544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865336720).

10232780544 is an abundant number, since it is smaller than the sum of its proper divisors (25497892896).

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

10232780544 is an frugal number, since it uses more digits than its factorization.

10232780544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10232780544 in words is "ten billion, two hundred thirty-two million, seven hundred eighty thousand, five hundred forty-four".