20228552682624 has 1152 divisors, whose sum is σ = 73766967805440. Its totient is φ = 5475398860800.

The previous prime is 20228552682617. The next prime is 20228552682631. The reversal of 20228552682624 is 42628625582202.

20228552682624 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 8 + 5 + 5 + 2 + 6 + 8 + 2 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (20228552682617) and next prime (20228552682631).

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 (54).

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, 1516717684 + ... + 1516731020.

It is an arithmetic number, because the mean of its divisors is an integer number (64033826220).

Almost surely, 2^{20228552682624} is an apocalyptic number.

20228552682624 is a gapful number since it is divisible by the number (24) 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 20228552682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36883483902720).

20228552682624 is an abundant number, since it is smaller than the sum of its proper divisors (53538415122816).

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

20228552682624 is a wasteful number, since it uses less digits than its factorization.

20228552682624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13432 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 20228552682624 in words is "twenty trillion, two hundred twenty-eight billion, five hundred fifty-two million, six hundred eighty-two thousand, six hundred twenty-four".