10504114521600 has 480 divisors, whose sum is σ = 39669644551680. Its totient is φ = 2400161955840.

The previous prime is 10504114521583. The next prime is 10504114521647. The reversal of 10504114521600 is 612541140501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10504114521600² (a number of 27 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1425442716 + ... + 1425450084.

It is an arithmetic number, because the mean of its divisors is an integer number (82645092816).

Almost surely, 2^{10504114521600} is an apocalyptic number.

10504114521600 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 10504114521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19834822275840).

10504114521600 is an abundant number, since it is smaller than the sum of its proper divisors (29165530030080).

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

10504114521600 is an equidigital number, since it uses as much as digits as its factorization.

10504114521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 10504114521600 in words is "ten trillion, five hundred four billion, one hundred fourteen million, five hundred twenty-one thousand, six hundred".