54465675264 has 1200 divisors, whose sum is σ = 223805425536. Its totient is φ = 12740198400.

The previous prime is 54465675263. The next prime is 54465675269. The reversal of 54465675264 is 46257656445.

54465675264 is a `hidden beast` number, since 54 + 4 + 6 + 5 + 67 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (24192000) is a multiple of the sum of its prime factors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 54465675264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54465675263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1328431084 + ... + 1328431124.

Almost surely, 2^54465675264 is an apocalyptic number.

54465675264 is a gapful number since it is divisible by the number (54) 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 54465675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111902712768).

54465675264 is an abundant number, since it is smaller than the sum of its proper divisors (169339750272).

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

54465675264 is a wasteful number, since it uses less digits than its factorization.

54465675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 54465675264 in words is "fifty-four billion, four hundred sixty-five million, six hundred seventy-five thousand, two hundred sixty-four".