20647311416460 has 432 divisors, whose sum is σ = 71817712948800. Its totient is φ = 4785832009728.

The previous prime is 20647311416453. The next prime is 20647311416491. The reversal of 20647311416460 is 6461411374602.

20647311416460 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 73 + 114 + 1 + 6 + 460 = 666.

It is a super-2 number, since 2×20647311416460² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 34399806 + ... + 34994874.

It is an arithmetic number, because the mean of its divisors is an integer number (166244705900).

Almost surely, 2^{20647311416460} is an apocalyptic number.

20647311416460 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 20647311416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35908856474400).

20647311416460 is an abundant number, since it is smaller than the sum of its proper divisors (51170401532340).

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

20647311416460 is a wasteful number, since it uses less digits than its factorization.

20647311416460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595170 (or 595148 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20647311416460 in words is "twenty trillion, six hundred forty-seven billion, three hundred eleven million, four hundred sixteen thousand, four hundred sixty".