21673801820160 has 576 divisors, whose sum is σ = 87256086503040. Its totient is φ = 4872789688320.

The previous prime is 21673801820147. The next prime is 21673801820173. The reversal of 21673801820160 is 6102810837612.

21673801820160 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 380 + 1 + 8 + 201 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (21673801820147) and next prime (21673801820173).

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 39076939 + ... + 39627701.

It is an arithmetic number, because the mean of its divisors is an integer number (151486261290).

Almost surely, 2^{21673801820160} is an apocalyptic number.

21673801820160 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 21673801820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43628043251520).

21673801820160 is an abundant number, since it is smaller than the sum of its proper divisors (65582284682880).

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

21673801820160 is a wasteful number, since it uses less digits than its factorization.

21673801820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550864 (or 550841 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 21673801820160 in words is "twenty-one trillion, six hundred seventy-three billion, eight hundred one million, eight hundred twenty thousand, one hundred sixty".