20516214827880 has 256 divisors, whose sum is σ = 71446030560000. Its totient is φ = 5230034611200.

The previous prime is 20516214827879. The next prime is 20516214827921. The reversal of 20516214827880 is 8872841261502.

20516214827880 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 621 + 4 + 8 + 2 + 7 + 8 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79510 + ... + 6406149.

It is an arithmetic number, because the mean of its divisors is an integer number (279086056875).

Almost surely, 2^{20516214827880} is an apocalyptic number.

20516214827880 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 20516214827880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35723015280000).

20516214827880 is an abundant number, since it is smaller than the sum of its proper divisors (50929815732120).

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

20516214827880 is a wasteful number, since it uses less digits than its factorization.

20516214827880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485809 (or 6485799 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 20516214827880 in words is "twenty trillion, five hundred sixteen billion, two hundred fourteen million, eight hundred twenty-seven thousand, eight hundred eighty".