10906877952 has 360 divisors, whose sum is σ = 35270398800. Its totient is φ = 3227516928.

The previous prime is 10906877939. The next prime is 10906878023. The reversal of 10906877952 is 25977860901.

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, 47628174 + ... + 47628402.

It is an arithmetic number, because the mean of its divisors is an integer number (97973330).

Almost surely, 2^10906877952 is an apocalyptic number.

10906877952 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 10906877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635199400).

10906877952 is an abundant number, since it is smaller than the sum of its proper divisors (24363520848).

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

10906877952 is a wasteful number, since it uses less digits than its factorization.

10906877952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 10906877952 in words is "ten billion, nine hundred six million, eight hundred seventy-seven thousand, nine hundred fifty-two".