10948277472 has 288 divisors, whose sum is σ = 33764822784. Its totient is φ = 3096360960.

The previous prime is 10948277387. The next prime is 10948277497. The reversal of 10948277472 is 27477284901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11487748 + ... + 11488700.

It is an arithmetic number, because the mean of its divisors is an integer number (117238968).

Almost surely, 2^10948277472 is an apocalyptic number.

10948277472 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 10948277472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16882411392).

10948277472 is an abundant number, since it is smaller than the sum of its proper divisors (22816545312).

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

10948277472 is a wasteful number, since it uses less digits than its factorization.

10948277472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

It can be divided in two parts, 10948 and 277472, that added together give a triangular number (288420 = T₇₅₉).

The spelling of 10948277472 in words is "ten billion, nine hundred forty-eight million, two hundred seventy-seven thousand, four hundred seventy-two".