10961319600000 has 3072 divisors, whose sum is σ = 51634195200000. Its totient is φ = 2269209600000.

The previous prime is 10961319599981. The next prime is 10961319600013. The reversal of 10961319600000 is 691316901.

10961319600000 is a `hidden beast` number, since 10 + 9 + 6 + 1 + 31 + 9 + 600 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40748399866 + ... + 40748400134.

It is an arithmetic number, because the mean of its divisors is an integer number (16808006250).

Almost surely, 2^{10961319600000} is an apocalyptic number.

10961319600000 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 10961319600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25817097600000).

10961319600000 is an abundant number, since it is smaller than the sum of its proper divisors (40672875600000).

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

10961319600000 is an frugal number, since it uses more digits than its factorization.

10961319600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 10961319600000 in words is "ten trillion, nine hundred sixty-one billion, three hundred nineteen million, six hundred thousand".