54677604331350 has 864 divisors, whose sum is σ = 212568689170656. Its totient is φ = 9870684364800.

The previous prime is 54677604331349. The next prime is 54677604331397. The reversal of 54677604331350 is 5313340677645.

It is a happy number.

54677604331350 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 76 + 0 + 433 + 135 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 53093532 + ... + 54113568.

It is an arithmetic number, because the mean of its divisors is an integer number (246028575429).

Almost surely, 2^{54677604331350} is an apocalyptic number.

54677604331350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54677604331350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106284344585328).

54677604331350 is an abundant number, since it is smaller than the sum of its proper divisors (157891084839306).

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

54677604331350 is a wasteful number, since it uses less digits than its factorization.

54677604331350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020110 (or 1020095 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 54677604331350 in words is "fifty-four trillion, six hundred seventy-seven billion, six hundred four million, three hundred thirty-one thousand, three hundred fifty".