54628761600 has 1080 divisors, whose sum is σ = 234522593760. Its totient is φ = 11890851840.

The previous prime is 54628761589. The next prime is 54628761641. The reversal of 54628761600 is 616782645.

54628761600 is a `hidden beast` number, since 5 + 4 + 6 + 28 + 7 + 616 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 748339164 + ... + 748339236.

Almost surely, 2^54628761600 is an apocalyptic number.

54628761600 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 54628761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117261296880).

54628761600 is an abundant number, since it is smaller than the sum of its proper divisors (179893832160).

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

54628761600 is a wasteful number, since it uses less digits than its factorization.

54628761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 54628761600 in words is "fifty-four billion, six hundred twenty-eight million, seven hundred sixty-one thousand, six hundred".