10000487059200 has 540 divisors, whose sum is σ = 40337867226888. Its totient is φ = 2424359116800.

The previous prime is 10000487059159. The next prime is 10000487059207. The reversal of 10000487059200 is 295078400001.

10000487059200 is a `hidden beast` number, since 100 + 0 + 0 + 487 + 0 + 59 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000487059207) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4825534 + ... + 6579266.

Almost surely, 2^{10000487059200} is an apocalyptic number.

10000487059200 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 10000487059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20168933613444).

10000487059200 is an abundant number, since it is smaller than the sum of its proper divisors (30337380167688).

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

10000487059200 is a wasteful number, since it uses less digits than its factorization.

10000487059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753782 (or 1753754 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10000487059200 in words is "ten trillion, four hundred eighty-seven million, fifty-nine thousand, two hundred".