10963780545600 has 567 divisors, whose sum is σ = 40000918411389. Its totient is φ = 2848127385600.

The previous prime is 10963780545589. The next prime is 10963780545649. The reversal of 10963780545600 is 654508736901.

The square root of 10963780545600 is 3311160.

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

10963780545600 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 3 + 78 + 0 + 5 + 4 + 560 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10861032089664 + 102748455936 = 3295608^2 + 320544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16290906864 + ... + 16290907536.

Almost surely, 2^{10963780545600} is an apocalyptic number.

10963780545600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10963780545600 is the 3311160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10963780545600

10963780545600 is an abundant number, since it is smaller than the sum of its proper divisors (29037137865789).

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

10963780545600 is an frugal number, since it uses more digits than its factorization.

10963780545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 10963780545600 in words is "ten trillion, nine hundred sixty-three billion, seven hundred eighty million, five hundred forty-five thousand, six hundred".