21047467161600 has 3456 divisors, whose sum is σ = 90919560775680. Its totient is φ = 4817387520000.

The previous prime is 21047467161587. The next prime is 21047467161661. The reversal of 21047467161600 is 616176474012.

21047467161600 is a `hidden beast` number, since 2 + 1 + 0 + 474 + 6 + 7 + 16 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 287 ways as a sum of consecutive naturals, for example, 513352857580 + ... + 513352857620.

It is an arithmetic number, because the mean of its divisors is an integer number (26307743280).

Almost surely, 2^{21047467161600} is an apocalyptic number.

21047467161600 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 21047467161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45459780387840).

21047467161600 is an abundant number, since it is smaller than the sum of its proper divisors (69872093614080).

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

21047467161600 is an equidigital number, since it uses as much as digits as its factorization.

21047467161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 21047467161600 in words is "twenty-one trillion, forty-seven billion, four hundred sixty-seven million, one hundred sixty-one thousand, six hundred".