18621629500800 has 768 divisors, whose sum is σ = 67240562400000. Its totient is φ = 4511515115520.

The previous prime is 18621629500777. The next prime is 18621629500801. The reversal of 18621629500800 is 800592612681.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18621629500800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18621629500801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 788138587 + ... + 788162213.

It is an arithmetic number, because the mean of its divisors is an integer number (87552815625).

Almost surely, 2^{18621629500800} is an apocalyptic number.

18621629500800 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 18621629500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33620281200000).

18621629500800 is an abundant number, since it is smaller than the sum of its proper divisors (48618932899200).

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

18621629500800 is a wasteful number, since it uses less digits than its factorization.

18621629500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23851 (or 23834 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 18621629500800 in words is "eighteen trillion, six hundred twenty-one billion, six hundred twenty-nine million, five hundred thousand, eight hundred".