54948580480 has 256 divisors, whose sum is σ = 143428320000. Its totient is φ = 20048117760.

The previous prime is 54948580471. The next prime is 54948580483. The reversal of 54948580480 is 8408584945.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54948580483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88769611 + ... + 88770229.

It is an arithmetic number, because the mean of its divisors is an integer number (560266875).

Almost surely, 2^54948580480 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 54948580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71714160000).

54948580480 is an abundant number, since it is smaller than the sum of its proper divisors (88479739520).

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

54948580480 is a wasteful number, since it uses less digits than its factorization.

54948580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 55.

The spelling of 54948580480 in words is "fifty-four billion, nine hundred forty-eight million, five hundred eighty thousand, four hundred eighty".