10532451413520 has 480 divisors, whose sum is σ = 37946521267200. Its totient is φ = 2610333029376.

The previous prime is 10532451413513. The next prime is 10532451413537. The reversal of 10532451413520 is 2531415423501.

10532451413520 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 4 + 514 + 135 + 2 + 0 = 666.

It is a super-2 number, since 2×10532451413520² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150732351 + ... + 150802209.

It is an arithmetic number, because the mean of its divisors is an integer number (79055252640).

Almost surely, 2^{10532451413520} is an apocalyptic number.

10532451413520 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 10532451413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973260633600).

10532451413520 is an abundant number, since it is smaller than the sum of its proper divisors (27414069853680).

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

10532451413520 is a wasteful number, since it uses less digits than its factorization.

10532451413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70107 (or 70098 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10532451413520 in words is "ten trillion, five hundred thirty-two billion, four hundred fifty-one million, four hundred thirteen thousand, five hundred twenty".