10529153712 has 300 divisors, whose sum is σ = 38675120616. Its totient is φ = 2734663680.

The previous prime is 10529153671. The next prime is 10529153717. The reversal of 10529153712 is 21735192501.

10529153712 is a `hidden beast` number, since 10 + 529 + 1 + 53 + 71 + 2 = 666.

It is a super-2 number, since 2×10529153712² (a number of 21 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 (10529153717) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 691008 + ... + 706080.

Almost surely, 2^10529153712 is an apocalyptic number.

10529153712 is a gapful number since it is divisible by the number (12) 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 10529153712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337560308).

10529153712 is an abundant number, since it is smaller than the sum of its proper divisors (28145966904).

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

10529153712 is a wasteful number, since it uses less digits than its factorization.

10529153712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15118 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 10529153712 in words is "ten billion, five hundred twenty-nine million, one hundred fifty-three thousand, seven hundred twelve".