54084951360 has 672 divisors, whose sum is σ = 209131034112. Its totient is φ = 12718632960.

The previous prime is 54084951343. The next prime is 54084951439. The reversal of 54084951360 is 6315948045.

54084951360 is a `hidden beast` number, since 54 + 0 + 84 + 9 + 513 + 6 + 0 = 666.

It is a super-2 number, since 2×54084951360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176172327 + ... + 176172633.

It is an arithmetic number, because the mean of its divisors is an integer number (311206896).

Almost surely, 2^54084951360 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 54084951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104565517056).

54084951360 is an abundant number, since it is smaller than the sum of its proper divisors (155046082752).

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

54084951360 is a wasteful number, since it uses less digits than its factorization.

54084951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 54084951360 in words is "fifty-four billion, eighty-four million, nine hundred fifty-one thousand, three hundred sixty".