18687058790400 has 5184 divisors, whose sum is σ = 94397358182400. Its totient is φ = 3433483468800.

The previous prime is 18687058790359. The next prime is 18687058790419. The reversal of 18687058790400 is 409785078681.

18687058790400 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 7 + 0 + 587 + 9 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×18687058790400² (a number of 27 digits) contains 22 as substring.

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

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 431 ways as a sum of consecutive naturals, for example, 147142195137 + ... + 147142195263.

Almost surely, 2^{18687058790400} is an apocalyptic number.

18687058790400 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 18687058790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47198679091200).

18687058790400 is an abundant number, since it is smaller than the sum of its proper divisors (75710299392000).

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

18687058790400 is a wasteful number, since it uses less digits than its factorization.

18687058790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 18687058790400 in words is "eighteen trillion, six hundred eighty-seven billion, fifty-eight million, seven hundred ninety thousand, four hundred".