54202627441620 has 480 divisors, whose sum is σ = 195947400929280. Its totient is φ = 12285920747520.

The previous prime is 54202627441607. The next prime is 54202627441643. The reversal of 54202627441620 is 2614472620245.

54202627441620 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 2 + 627 + 4 + 4 + 16 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3630686316 + ... + 3630701244.

It is an arithmetic number, because the mean of its divisors is an integer number (408223751936).

Almost surely, 2^{54202627441620} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54202627441620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97973700464640).

54202627441620 is an abundant number, since it is smaller than the sum of its proper divisors (141744773487660).

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

54202627441620 is a wasteful number, since it uses less digits than its factorization.

54202627441620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17605 (or 17594 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 54202627441620 in words is "fifty-four trillion, two hundred two billion, six hundred twenty-seven million, four hundred forty-one thousand, six hundred twenty".