18819836006400 has 4368 divisors, whose sum is σ = 86164828972992. Its totient is φ = 4013162496000.

The previous prime is 18819836006351. The next prime is 18819836006483. The reversal of 18819836006400 is 460063891881.

18819836006400 is a `hidden beast` number, since 18 + 8 + 19 + 8 + 3 + 600 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 437670604779 + ... + 437670604821.

Almost surely, 2^{18819836006400} is an apocalyptic number.

18819836006400 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 18819836006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43082414486496).

18819836006400 is an abundant number, since it is smaller than the sum of its proper divisors (67344992966592).

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

18819836006400 is a wasteful number, since it uses less digits than its factorization.

18819836006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 18819836006400 in words is "eighteen trillion, eight hundred nineteen billion, eight hundred thirty-six million, six thousand, four hundred".