10520407941120 has 4032 divisors, whose sum is σ = 50220325524096. Its totient is φ = 2086844497920.

The previous prime is 10520407941107. The next prime is 10520407941139. The reversal of 10520407941120 is 2114970402501.

10520407941120 is a `hidden beast` number, since 1 + 0 + 52 + 0 + 407 + 94 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×10520407941120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 198498263014 + ... + 198498263066.

It is an arithmetic number, because the mean of its divisors is an integer number (12455437878).

Almost surely, 2^{10520407941120} is an apocalyptic number.

10520407941120 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 10520407941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110162762048).

10520407941120 is an abundant number, since it is smaller than the sum of its proper divisors (39699917582976).

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

10520407941120 is an equidigital number, since it uses as much as digits as its factorization.

10520407941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10520407941120 in words is "ten trillion, five hundred twenty billion, four hundred seven million, nine hundred forty-one thousand, one hundred twenty".