54960454080 has 1344 divisors, whose sum is σ = 239645952000. Its totient is φ = 11524423680.

The previous prime is 54960454069. The next prime is 54960454093. The reversal of 54960454080 is 8045406945.

54960454080 is a `hidden beast` number, since 5 + 49 + 60 + 4 + 540 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 931533091 + ... + 931533149.

It is an arithmetic number, because the mean of its divisors is an integer number (178308000).

Almost surely, 2^54960454080 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 54960454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976000).

54960454080 is an abundant number, since it is smaller than the sum of its proper divisors (184685497920).

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

54960454080 is a wasteful number, since it uses less digits than its factorization.

54960454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 54960454080 in words is "fifty-four billion, nine hundred sixty million, four hundred fifty-four thousand, eighty".