10531720613520 has 480 divisors, whose sum is σ = 37302017875200. Its totient is φ = 2657629286400.

The previous prime is 10531720613507. The next prime is 10531720613521. The reversal of 10531720613520 is 2531602713501.

10531720613520 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 72 + 0 + 61 + 3 + 520 = 666.

It is a super-2 number, since 2×10531720613520² (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 not an unprimeable number, because it can be changed into a prime (10531720613521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3902081131 + ... + 3902083829.

It is an arithmetic number, because the mean of its divisors is an integer number (77712537240).

Almost surely, 2^{10531720613520} is an apocalyptic number.

10531720613520 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 10531720613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651008937600).

10531720613520 is an abundant number, since it is smaller than the sum of its proper divisors (26770297261680).

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

10531720613520 is a wasteful number, since it uses less digits than its factorization.

10531720613520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10531720613520 in words is "ten trillion, five hundred thirty-one billion, seven hundred twenty million, six hundred thirteen thousand, five hundred twenty".