54135314400 has 288 divisors, whose sum is σ = 184161212928. Its totient is φ = 13799116800.

The previous prime is 54135314399. The next prime is 54135314461. The reversal of 54135314400 is 441353145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4844820 + ... + 4855980.

It is an arithmetic number, because the mean of its divisors is an integer number (639448656).

Almost surely, 2^54135314400 is an apocalyptic number.

54135314400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54135314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92080606464).

54135314400 is an abundant number, since it is smaller than the sum of its proper divisors (130025898528).

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

54135314400 is a wasteful number, since it uses less digits than its factorization.

54135314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11261 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 54135314400 its reverse (441353145), we get a palindrome (54576667545).

The spelling of 54135314400 in words is "fifty-four billion, one hundred thirty-five million, three hundred fourteen thousand, four hundred".