21190018394160 has 1200 divisors, whose sum is σ = 92721644059968. Its totient is φ = 4390245826560.

The previous prime is 21190018394147. The next prime is 21190018394161. The reversal of 21190018394160 is 6149381009112.

21190018394160 is a `hidden beast` number, since 2 + 1 + 1 + 90 + 0 + 18 + 394 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21190018394161) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1937456212 + ... + 1937467148.

Almost surely, 2^{21190018394160} is an apocalyptic number.

21190018394160 is a gapful number since it is divisible by the number (20) 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 21190018394160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360822029984).

21190018394160 is an abundant number, since it is smaller than the sum of its proper divisors (71531625665808).

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

21190018394160 is a wasteful number, since it uses less digits than its factorization.

21190018394160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 21190018394160 in words is "twenty-one trillion, one hundred ninety billion, eighteen million, three hundred ninety-four thousand, one hundred sixty".