54801204480 has 1008 divisors, whose sum is σ = 226805019840. Its totient is φ = 12541132800.

The previous prime is 54801204467. The next prime is 54801204481. The reversal of 54801204480 is 8440210845.

54801204480 is a `hidden beast` number, since 54 + 8 + 0 + 120 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54801204481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195021940 + ... + 195022220.

It is an arithmetic number, because the mean of its divisors is an integer number (225004980).

Almost surely, 2^54801204480 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 54801204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113402509920).

54801204480 is an abundant number, since it is smaller than the sum of its proper divisors (172003815360).

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

54801204480 is a wasteful number, since it uses less digits than its factorization.

54801204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 54801204480 in words is "fifty-four billion, eight hundred one million, two hundred four thousand, four hundred eighty".