10754209670960 has 640 divisors, whose sum is σ = 32712649113600. Its totient is φ = 3199815843840.

The previous prime is 10754209670959. The next prime is 10754209671019. The reversal of 10754209670960 is 6907690245701.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 10754209670896 and 10754209670905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6292690586 + ... + 6292692294.

It is an arithmetic number, because the mean of its divisors is an integer number (51113514240).

Almost surely, 2^{10754209670960} is an apocalyptic number.

10754209670960 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 10754209670960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356324556800).

10754209670960 is an abundant number, since it is smaller than the sum of its proper divisors (21958439442640).

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

10754209670960 is a wasteful number, since it uses less digits than its factorization.

10754209670960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 56.

The spelling of 10754209670960 in words is "ten trillion, seven hundred fifty-four billion, two hundred nine million, six hundred seventy thousand, nine hundred sixty".