10501760482920 has 256 divisors, whose sum is σ = 40395124224000. Its totient is φ = 2377097342208.

The previous prime is 10501760482909. The next prime is 10501760482973. The reversal of 10501760482920 is 2928406710501.

10501760482920 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 17 + 604 + 8 + 2 + 9 + 20 = 666.

It is a super-2 number, since 2×10501760482920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 5964630 + ... + 7521989.

It is an arithmetic number, because the mean of its divisors is an integer number (157793454000).

Almost surely, 2^{10501760482920} is an apocalyptic number.

10501760482920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10501760482920 is an abundant number, since it is smaller than the sum of its proper divisors (29893363741080).

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

10501760482920 is a wasteful number, since it uses less digits than its factorization.

10501760482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13486749 (or 13486739 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10501760482920 in words is "ten trillion, five hundred one billion, seven hundred sixty million, four hundred eighty-two thousand, nine hundred twenty".