54142196438880 has 2304 divisors, whose sum is σ = 221172909834240. Its totient is φ = 11915624448000.

The previous prime is 54142196438833. The next prime is 54142196438881. The reversal of 54142196438880 is 8883469124145.

It is a happy number.

54142196438880 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 2 + 196 + 438 + 8 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54142196438881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 242790118449 + ... + 242790118671.

It is an arithmetic number, because the mean of its divisors is an integer number (95995186560).

Almost surely, 2^{54142196438880} 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 54142196438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110586454917120).

54142196438880 is an abundant number, since it is smaller than the sum of its proper divisors (167030713395360).

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

54142196438880 is a wasteful number, since it uses less digits than its factorization.

54142196438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 54142196438880 in words is "fifty-four trillion, one hundred forty-two billion, one hundred ninety-six million, four hundred thirty-eight thousand, eight hundred eighty".