10928578105600 has 405 divisors, whose sum is σ = 28616756440965. Its totient is φ = 4132035532800.

The previous prime is 10928578105573. The next prime is 10928578105619. The reversal of 10928578105600 is 650187582901.

The square root of 10928578105600 is 3305840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3934288118016 + 6994289987584 = 1983504^2 + 2644672^2 .

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 44 ways as a sum of consecutive naturals, for example, 254152979179 + ... + 254152979221.

Almost surely, 2^{10928578105600} is an apocalyptic number.

10928578105600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10928578105600 is the 3305840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10928578105600

10928578105600 is an abundant number, since it is smaller than the sum of its proper divisors (17688178335365).

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

10928578105600 is an frugal number, since it uses more digits than its factorization.

10928578105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 10928578105600 in words is "ten trillion, nine hundred twenty-eight billion, five hundred seventy-eight million, one hundred five thousand, six hundred".