10780445952 has 144 divisors (see below), whose sum is σ = 31931368000. Its totient is φ = 3587659776.

The previous prime is 10780445947. The next prime is 10780445959. The reversal of 10780445952 is 25954408701.

10780445952 is a `hidden beast` number, since 10 + 7 + 8 + 0 + 44 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 10780445898 and 10780445907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10780445959) 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, 7388199 + ... + 7389657.

Almost surely, 2^10780445952 is an apocalyptic number.

10780445952 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 10780445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15965684000).

10780445952 is an abundant number, since it is smaller than the sum of its proper divisors (21150922048).

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

10780445952 is a wasteful number, since it uses less digits than its factorization.

10780445952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10780445952 in words is "ten billion, seven hundred eighty million, four hundred forty-five thousand, nine hundred fifty-two".