10153320532000 has 96 divisors (see below), whose sum is σ = 24949805300784. Its totient is φ = 4060824064000.

The previous prime is 10153320531989. The next prime is 10153320532073. The reversal of 10153320532000 is 23502335101.

It can be written as a sum of positive squares in 8 ways, for example, as 1648234874896 + 8505085657104 = 1283836^2 + 2916348^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32938590 + ... + 33245410.

Almost surely, 2^{10153320532000} is an apocalyptic number.

10153320532000 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 10153320532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12474902650392).

10153320532000 is an abundant number, since it is smaller than the sum of its proper divisors (14796484768784).

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

10153320532000 is an equidigital number, since it uses as much as digits as its factorization.

10153320532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315119 (or 315101 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 10153320532000 its reverse (23502335101), we get a palindrome (10176822867101).

The spelling of 10153320532000 in words is "ten trillion, one hundred fifty-three billion, three hundred twenty million, five hundred thirty-two thousand".