10780503552 has 480 divisors, whose sum is σ = 39179492352. Its totient is φ = 2777628672.

The previous prime is 10780503511. The next prime is 10780503647. The reversal of 10780503552 is 25530508701.

It is a super-3 number, since 3×10780503552³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19708143 + ... + 19708689.

Almost surely, 2^10780503552 is an apocalyptic number.

10780503552 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 10780503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19589746176).

10780503552 is an abundant number, since it is smaller than the sum of its proper divisors (28398988800).

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

10780503552 is a wasteful number, since it uses less digits than its factorization.

10780503552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 10780503552 in words is "ten billion, seven hundred eighty million, five hundred three thousand, five hundred fifty-two".