18621023282400 has 1152 divisors, whose sum is σ = 78652757901312. Its totient is φ = 3744347904000.

The previous prime is 18621023282387. The next prime is 18621023282443. The reversal of 18621023282400 is 428232012681.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 693171369 + ... + 693198231.

It is an arithmetic number, because the mean of its divisors is an integer number (68274963456).

Almost surely, 2^{18621023282400} is an apocalyptic number.

18621023282400 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 18621023282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39326378950656).

18621023282400 is an abundant number, since it is smaller than the sum of its proper divisors (60031734618912).

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

18621023282400 is a wasteful number, since it uses less digits than its factorization.

18621023282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26957 (or 26922 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 18621023282400 in words is "eighteen trillion, six hundred twenty-one billion, twenty-three million, two hundred eighty-two thousand, four hundred".