54135254513200 has 60 divisors (see below), whose sum is σ = 148639941685360. Its totient is φ = 18560658689280.

The previous prime is 54135254513099. The next prime is 54135254513203. The reversal of 54135254513200 is 231545253145.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (54135254513203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9667006935 + ... + 9667012534.

Almost surely, 2^{54135254513200} is an apocalyptic number.

54135254513200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54135254513200 is an abundant number, since it is smaller than the sum of its proper divisors (94504687172160).

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

54135254513200 is a wasteful number, since it uses less digits than its factorization.

54135254513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19334019494 (or 19334019483 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

Adding to 54135254513200 its reverse (231545253145), we get a palindrome (54366799766345).

The spelling of 54135254513200 in words is "fifty-four trillion, one hundred thirty-five billion, two hundred fifty-four million, five hundred thirteen thousand, two hundred".