54789696000 has 960 divisors, whose sum is σ = 221206841856. Its totient is φ = 13436928000.

The previous prime is 54789695993. The next prime is 54789696007. The reversal of 54789696000 is 69698745.

54789696000 is a `hidden beast` number, since 547 + 8 + 9 + 6 + 96 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54789695993) and next prime (54789696007).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (54789696007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202175865 + ... + 202176135.

Almost surely, 2^54789696000 is an apocalyptic number.

54789696000 is a gapful number since it is divisible by the number (50) 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 54789696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110603420928).

54789696000 is an abundant number, since it is smaller than the sum of its proper divisors (166417145856).

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

54789696000 is an equidigital number, since it uses as much as digits as its factorization.

54789696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 54789696000 in words is "fifty-four billion, seven hundred eighty-nine million, six hundred ninety-six thousand".