21307338200160 has 768 divisors, whose sum is σ = 80351560396800. Its totient is φ = 5256509644800.

The previous prime is 21307338200153. The next prime is 21307338200177. The reversal of 21307338200160 is 6100283370312.

21307338200160 is a `hidden beast` number, since 2 + 1 + 307 + 338 + 2 + 0 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×21307338200160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1778421370 + ... + 1778433350.

It is an arithmetic number, because the mean of its divisors is an integer number (104624427600).

Almost surely, 2^{21307338200160} is an apocalyptic number.

21307338200160 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 21307338200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40175780198400).

21307338200160 is an abundant number, since it is smaller than the sum of its proper divisors (59044222196640).

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

21307338200160 is a wasteful number, since it uses less digits than its factorization.

21307338200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12532 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 21307338200160 in words is "twenty-one trillion, three hundred seven billion, three hundred thirty-eight million, two hundred thousand, one hundred sixty".