10052432016600 has 288 divisors, whose sum is σ = 32082571584000. Its totient is φ = 2603716876800.

The previous prime is 10052432016521. The next prime is 10052432016631. The reversal of 10052432016600 is 661023425001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 492008385 + ... + 492028815.

It is an arithmetic number, because the mean of its divisors is an integer number (111397818000).

Almost surely, 2^{10052432016600} is an apocalyptic number.

10052432016600 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 10052432016600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041285792000).

10052432016600 is an abundant number, since it is smaller than the sum of its proper divisors (22030139567400).

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

10052432016600 is a wasteful number, since it uses less digits than its factorization.

10052432016600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21123 (or 21077 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10052432016600 in words is "ten trillion, fifty-two billion, four hundred thirty-two million, sixteen thousand, six hundred".