18879228950400 has 576 divisors, whose sum is σ = 82911291983520. Its totient is φ = 3983309291520.

The previous prime is 18879228950377. The next prime is 18879228950437. The reversal of 18879228950400 is 405982297881.

18879228950400 is a `hidden beast` number, since 1 + 8 + 87 + 9 + 22 + 89 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 981007 + ... + 6222606.

Almost surely, 2^{18879228950400} is an apocalyptic number.

18879228950400 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 18879228950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41455645991760).

18879228950400 is an abundant number, since it is smaller than the sum of its proper divisors (64032063033120).

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

18879228950400 is a wasteful number, since it uses less digits than its factorization.

18879228950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203663 (or 7203643 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 18879228950400 in words is "eighteen trillion, eight hundred seventy-nine billion, two hundred twenty-eight million, nine hundred fifty thousand, four hundred".