10780554240 has 264 divisors, whose sum is σ = 37591763040. Its totient is φ = 2856566784.

The previous prime is 10780554193. The next prime is 10780554263. The reversal of 10780554240 is 4245508701.

10780554240 is a `hidden beast` number, since 1 + 0 + 7 + 80 + 554 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10780554195 and 10780554204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8247667 + ... + 8248973.

Almost surely, 2^10780554240 is an apocalyptic number.

10780554240 is a gapful number since it is divisible by the number (10) 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 10780554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795881520).

10780554240 is an abundant number, since it is smaller than the sum of its proper divisors (26811208800).

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

10780554240 is a wasteful number, since it uses less digits than its factorization.

10780554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 10780554240 in words is "ten billion, seven hundred eighty million, five hundred fifty-four thousand, two hundred forty".