54142360474800 has 120 divisors (see below), whose sum is σ = 186777261035344. Its totient is φ = 13327350266880.

The previous prime is 54142360474789. The next prime is 54142360474801. The reversal of 54142360474800 is 847406324145.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54142360474800.

It is not an unprimeable number, because it can be changed into a prime (54142360474801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735316467 + ... + 1735347666.

Almost surely, 2^{54142360474800} is an apocalyptic number.

54142360474800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54142360474800 is an abundant number, since it is smaller than the sum of its proper divisors (132634900560544).

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

54142360474800 is a wasteful number, since it uses less digits than its factorization.

54142360474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470664167 (or 3470664156 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

Adding to 54142360474800 its reverse (847406324145), we get a palindrome (54989766798945).

The spelling of 54142360474800 in words is "fifty-four trillion, one hundred forty-two billion, three hundred sixty million, four hundred seventy-four thousand, eight hundred".