20927219564160 has 3072 divisors, whose sum is σ = 97804062720000. Its totient is φ = 4152333238272.

The previous prime is 20927219564123. The next prime is 20927219564171. The reversal of 20927219564160 is 6146591272902.

It is a happy number.

20927219564160 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 7 + 2 + 19 + 564 + 1 + 60 = 666.

It is a super-2 number, since 2×20927219564160² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20927219564097 and 20927219564106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59963379666 + ... + 59963380014.

It is an arithmetic number, because the mean of its divisors is an integer number (31837260000).

Almost surely, 2^{20927219564160} is an apocalyptic number.

20927219564160 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 20927219564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48902031360000).

20927219564160 is an abundant number, since it is smaller than the sum of its proper divisors (76876843155840).

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

20927219564160 is a wasteful number, since it uses less digits than its factorization.

20927219564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20927219564160 in words is "twenty trillion, nine hundred twenty-seven billion, two hundred nineteen million, five hundred sixty-four thousand, one hundred sixty".