10807006764960 has 288 divisors, whose sum is σ = 43127498494080. Its totient is φ = 2412726994944.

The previous prime is 10807006764949. The next prime is 10807006764979. The reversal of 10807006764960 is 6946760070801.

It is a happy number.

10807006764960 is a `hidden beast` number, since 1 + 0 + 80 + 7 + 0 + 0 + 6 + 76 + 496 + 0 = 666.

10807006764960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 10807006764897 and 10807006764906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12033115 + ... + 12899994.

It is an arithmetic number, because the mean of its divisors is an integer number (149748258660).

Almost surely, 2^{10807006764960} is an apocalyptic number.

10807006764960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10807006764960 is an abundant number, since it is smaller than the sum of its proper divisors (32320491729120).

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

10807006764960 is a wasteful number, since it uses less digits than its factorization.

10807006764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24933180 (or 24933169 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10807006764960 in words is "ten trillion, eight hundred seven billion, six million, seven hundred sixty-four thousand, nine hundred sixty".