54122294983680 has 6336 divisors, whose sum is σ = 268607976698880. Its totient is φ = 10386287493120.

The previous prime is 54122294983607. The next prime is 54122294983699. The reversal of 54122294983680 is 8638949222145.

54122294983680 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 229 + 49 + 8 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1866286033906 + ... + 1866286033934.

Almost surely, 2^{54122294983680} 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 54122294983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134303988349440).

54122294983680 is an abundant number, since it is smaller than the sum of its proper divisors (214485681715200).

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

54122294983680 is a wasteful number, since it uses less digits than its factorization.

54122294983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 54122294983680 in words is "fifty-four trillion, one hundred twenty-two billion, two hundred ninety-four million, nine hundred eighty-three thousand, six hundred eighty".