10768937165280 has 768 divisors, whose sum is σ = 45517809254400. Its totient is φ = 2324635822080.

The previous prime is 10768937165249. The next prime is 10768937165291. The reversal of 10768937165280 is 8256173986701.

10768937165280 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 8 + 93 + 7 + 16 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54848085 + ... + 55044075.

It is an arithmetic number, because the mean of its divisors is an integer number (59267980800).

Almost surely, 2^{10768937165280} is an apocalyptic number.

10768937165280 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 10768937165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22758904627200).

10768937165280 is an abundant number, since it is smaller than the sum of its proper divisors (34748872089120).

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

10768937165280 is a wasteful number, since it uses less digits than its factorization.

10768937165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196124 (or 196110 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10768937165280 in words is "ten trillion, seven hundred sixty-eight billion, nine hundred thirty-seven million, one hundred sixty-five thousand, two hundred eighty".