21160146346200 has 72 divisors (see below), whose sum is σ = 71062824818700. Its totient is φ = 5642705691840.

The previous prime is 21160146346181. The next prime is 21160146346249. The reversal of 21160146346200 is 264364106112.

21160146346200 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 0 + 14 + 634 + 6 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 5877816630 + ... + 5877820229.

Almost surely, 2^{21160146346200} is an apocalyptic number.

21160146346200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21160146346200 is an abundant number, since it is smaller than the sum of its proper divisors (49902678472500).

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

21160146346200 is a wasteful number, since it uses less digits than its factorization.

21160146346200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11755636881 (or 11755636869 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21160146346200 in words is "twenty-one trillion, one hundred sixty billion, one hundred forty-six million, three hundred forty-six thousand, two hundred".