54764600550000 has 480 divisors, whose sum is σ = 196548500090880. Its totient is φ = 13025750400000.

The previous prime is 54764600549983. The next prime is 54764600550019. The reversal of 54764600550000 is 5500646745.

54764600550000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54764600550000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87136881 + ... + 87763119.

It is an arithmetic number, because the mean of its divisors is an integer number (409476041856).

Almost surely, 2^{54764600550000} is an apocalyptic number.

54764600550000 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 54764600550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98274250045440).

54764600550000 is an abundant number, since it is smaller than the sum of its proper divisors (141783899540880).

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

54764600550000 is a wasteful number, since it uses less digits than its factorization.

54764600550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626339 (or 626313 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 54764600550000 in words is "fifty-four trillion, seven hundred sixty-four billion, six hundred million, five hundred fifty thousand".