21854154712320 has 432 divisors, whose sum is σ = 86862777910272. Its totient is φ = 4969349775360.

The previous prime is 21854154712301. The next prime is 21854154712361. The reversal of 21854154712320 is 2321745145812.

It is a happy number.

21854154712320 is a `hidden beast` number, since 2 + 1 + 8 + 541 + 5 + 4 + 71 + 2 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14861425 + ... + 16265615.

Almost surely, 2^{21854154712320} is an apocalyptic number.

21854154712320 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 21854154712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43431388955136).

21854154712320 is an abundant number, since it is smaller than the sum of its proper divisors (65008623197952).

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

21854154712320 is a wasteful number, since it uses less digits than its factorization.

21854154712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404418 (or 1404401 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 21854154712320 in words is "twenty-one trillion, eight hundred fifty-four billion, one hundred fifty-four million, seven hundred twelve thousand, three hundred twenty".