10772596380 has 288 divisors, whose sum is σ = 39442023936. Its totient is φ = 2138886144.

The previous prime is 10772596369. The next prime is 10772596391. The reversal of 10772596380 is 8369527701.

It is an interprime number because it is at equal distance from previous prime (10772596369) and next prime (10772596391).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1574527 + ... + 1581353.

It is an arithmetic number, because the mean of its divisors is an integer number (136951472).

Almost surely, 2^10772596380 is an apocalyptic number.

10772596380 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 10772596380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721011968).

10772596380 is an abundant number, since it is smaller than the sum of its proper divisors (28669427556).

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

10772596380 is a wasteful number, since it uses less digits than its factorization.

10772596380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 10772596380 in words is "ten billion, seven hundred seventy-two million, five hundred ninety-six thousand, three hundred eighty".