54165351240 has 1536 divisors, whose sum is σ = 258893107200. Its totient is φ = 9808957440.

The previous prime is 54165351239. The next prime is 54165351263. The reversal of 54165351240 is 4215356145.

54165351240 is a `hidden beast` number, since 5 + 4 + 1 + 65 + 351 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54165351195 and 54165351204.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184864534 + ... + 184864826.

It is an arithmetic number, because the mean of its divisors is an integer number (168550200).

Almost surely, 2^54165351240 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 54165351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129446553600).

54165351240 is an abundant number, since it is smaller than the sum of its proper divisors (204727755960).

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

54165351240 is a wasteful number, since it uses less digits than its factorization.

54165351240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 54165351240 in words is "fifty-four billion, one hundred sixty-five million, three hundred fifty-one thousand, two hundred forty".