20927161624320 has 1152 divisors, whose sum is σ = 86462024140800. Its totient is φ = 4694540156928.

The previous prime is 20927161624301. The next prime is 20927161624331. The reversal of 20927161624320 is 2342616172902.

20927161624320 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 7 + 1 + 616 + 2 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 2821509252 + ... + 2821516668.

It is an arithmetic number, because the mean of its divisors is an integer number (75053840400).

Almost surely, 2^{20927161624320} is an apocalyptic number.

20927161624320 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 20927161624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43231012070400).

20927161624320 is an abundant number, since it is smaller than the sum of its proper divisors (65534862516480).

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

20927161624320 is a wasteful number, since it uses less digits than its factorization.

20927161624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20927161624320 in words is "twenty trillion, nine hundred twenty-seven billion, one hundred sixty-one million, six hundred twenty-four thousand, three hundred twenty".