21854078991360 has 1056 divisors, whose sum is σ = 94526522947584. Its totient is φ = 4535451648000.

The previous prime is 21854078991347. The next prime is 21854078991377. The reversal of 21854078991360 is 6319987045812.

21854078991360 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 407 + 8 + 99 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3232370380 + ... + 3232377140.

It is a 1-persistent number, because it is pandigital, but 2⋅21854078991360 = 43708157982720 is not.

Almost surely, 2^{21854078991360} is an apocalyptic number.

21854078991360 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 21854078991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47263261473792).

21854078991360 is an abundant number, since it is smaller than the sum of its proper divisors (72672443956224).

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

21854078991360 is a wasteful number, since it uses less digits than its factorization.

21854078991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 21854078991360 in words is "twenty-one trillion, eight hundred fifty-four billion, seventy-eight million, nine hundred ninety-one thousand, three hundred sixty".