21477125376000 has 4608 divisors, whose sum is σ = 99530486415360. Its totient is φ = 4514807808000.

The previous prime is 21477125375911. The next prime is 21477125376071. The reversal of 21477125376000 is 67352177412.

21477125376000 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 7 + 1 + 2 + 5 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×21477125376000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 499468031979 + ... + 499468032021.

It is an arithmetic number, because the mean of its divisors is an integer number (21599497920).

Almost surely, 2^{21477125376000} is an apocalyptic number.

21477125376000 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 21477125376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49765243207680).

21477125376000 is an abundant number, since it is smaller than the sum of its proper divisors (78053361039360).

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

21477125376000 is an equidigital number, since it uses as much as digits as its factorization.

21477125376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 21477125376000 in words is "twenty-one trillion, four hundred seventy-seven billion, one hundred twenty-five million, three hundred seventy-six thousand".