21934186953120 has 1728 divisors, whose sum is σ = 89575991406720. Its totient is φ = 5048590270464.

The previous prime is 21934186953109. The next prime is 21934186953127. The reversal of 21934186953120 is 2135968143912.

21934186953120 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 4 + 1 + 86 + 9 + 531 + 20 = 666.

It is a super-2 number, since 2×21934186953120² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21934186953127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19994700412 + ... + 19994701508.

It is an arithmetic number, because the mean of its divisors is an integer number (51837957990).

Almost surely, 2^{21934186953120} is an apocalyptic number.

21934186953120 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 21934186953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44787995703360).

21934186953120 is an abundant number, since it is smaller than the sum of its proper divisors (67641804453600).

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

21934186953120 is a wasteful number, since it uses less digits than its factorization.

21934186953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 21934186953120 in words is "twenty-one trillion, nine hundred thirty-four billion, one hundred eighty-six million, nine hundred fifty-three thousand, one hundred twenty".