10120972755560 has 96 divisors (see below), whose sum is σ = 23838476256000. Its totient is φ = 3866980596864.

The previous prime is 10120972755547. The next prime is 10120972755563. The reversal of 10120972755560 is 6555727902101.

It is a junction number, because it is equal to n+sod(n) for n = 10120972755499 and 10120972755508.

It is not an unprimeable number, because it can be changed into a prime (10120972755563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14881421 + ... + 15546659.

It is an arithmetic number, because the mean of its divisors is an integer number (248317461000).

Almost surely, 2^{10120972755560} is an apocalyptic number.

10120972755560 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 10120972755560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11919238128000).

10120972755560 is an abundant number, since it is smaller than the sum of its proper divisors (13717503500440).

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

10120972755560 is a wasteful number, since it uses less digits than its factorization.

10120972755560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666015 (or 665988 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 50.

The spelling of 10120972755560 in words is "ten trillion, one hundred twenty billion, nine hundred seventy-two million, seven hundred fifty-five thousand, five hundred sixty".