18868873430400 has 3072 divisors, whose sum is σ = 82013679360000. Its totient is φ = 3787236311040.

The previous prime is 18868873430399. The next prime is 18868873430413. The reversal of 18868873430400 is 403437886881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 383 ways as a sum of consecutive naturals, for example, 120183907122 + ... + 120183907278.

It is an arithmetic number, because the mean of its divisors is an integer number (26697161250).

Almost surely, 2^{18868873430400} is an apocalyptic number.

18868873430400 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 18868873430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41006839680000).

18868873430400 is an abundant number, since it is smaller than the sum of its proper divisors (63144805929600).

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

18868873430400 is a wasteful number, since it uses less digits than its factorization.

18868873430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 18868873430400 in words is "eighteen trillion, eight hundred sixty-eight billion, eight hundred seventy-three million, four hundred thirty thousand, four hundred".