54135365319360 has 1008 divisors, whose sum is σ = 214181010523584. Its totient is φ = 12501100265472.

The previous prime is 54135365319359. The next prime is 54135365319389. The reversal of 54135365319360 is 6391356353145.

54135365319360 is a `hidden beast` number, since 5 + 4 + 1 + 35 + 365 + 3 + 193 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54135365319297 and 54135365319306.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2589826669 + ... + 2589847571.

Almost surely, 2^{54135365319360} 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 54135365319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107090505261792).

54135365319360 is an abundant number, since it is smaller than the sum of its proper divisors (160045645204224).

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

54135365319360 is a wasteful number, since it uses less digits than its factorization.

54135365319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21282 (or 21256 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 54.

The spelling of 54135365319360 in words is "fifty-four trillion, one hundred thirty-five billion, three hundred sixty-five million, three hundred nineteen thousand, three hundred sixty".