54805033920 has 1120 divisors, whose sum is σ = 229486602240. Its totient is φ = 11000586240.

The previous prime is 54805033909. The next prime is 54805033931. The reversal of 54805033920 is 2933050845.

It is an interprime number because it is at equal distance from previous prime (54805033909) and next prime (54805033931).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 928898851 + ... + 928898909.

It is an arithmetic number, because the mean of its divisors is an integer number (204898752).

Almost surely, 2^54805033920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54805033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114743301120).

54805033920 is an abundant number, since it is smaller than the sum of its proper divisors (174681568320).

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

54805033920 is a wasteful number, since it uses less digits than its factorization.

54805033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 54805033920 in words is "fifty-four billion, eight hundred five million, thirty-three thousand, nine hundred twenty".