54652308480 has 1056 divisors, whose sum is σ = 240464659968. Its totient is φ = 11147673600.

The previous prime is 54652308479. The next prime is 54652308493. The reversal of 54652308480 is 8480325645.

54652308480 is a `hidden beast` number, since 5 + 46 + 523 + 0 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 259015575 + ... + 259015785.

Almost surely, 2^54652308480 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 54652308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120232329984).

54652308480 is an abundant number, since it is smaller than the sum of its proper divisors (185812351488).

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

54652308480 is a wasteful number, since it uses less digits than its factorization.

54652308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 54652308480 in words is "fifty-four billion, six hundred fifty-two million, three hundred eight thousand, four hundred eighty".