54790689600 has 672 divisors, whose sum is σ = 208266670080. Its totient is φ = 13996800000.

The previous prime is 54790689587. The next prime is 54790689643. The reversal of 54790689600 is 698609745.

54790689600 is a `hidden beast` number, since 547 + 9 + 0 + 6 + 8 + 96 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218289475 + ... + 218289725.

It is an arithmetic number, because the mean of its divisors is an integer number (309920640).

Almost surely, 2^54790689600 is an apocalyptic number.

54790689600 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 54790689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104133335040).

54790689600 is an abundant number, since it is smaller than the sum of its proper divisors (153475980480).

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

54790689600 is a wasteful number, since it uses less digits than its factorization.

54790689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 455 counting only the distinct ones).

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

The spelling of 54790689600 in words is "fifty-four billion, seven hundred ninety million, six hundred eighty-nine thousand, six hundred".