54988560506880 has 8064 divisors, whose sum is σ = 292380842557440. Its totient is φ = 9249384038400.

The previous prime is 54988560506863. The next prime is 54988560506881. The reversal of 54988560506880 is 8860506588945.

54988560506880 is a `hidden beast` number, since 5 + 4 + 9 + 8 + 8 + 5 + 605 + 0 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54988560506799 and 54988560506808.

It is not an unprimeable number, because it can be changed into a prime (54988560506881) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1773824532465 + ... + 1773824532495.

It is an arithmetic number, because the mean of its divisors is an integer number (36257544960).

Almost surely, 2^{54988560506880} 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 54988560506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146190421278720).

54988560506880 is an abundant number, since it is smaller than the sum of its proper divisors (237392282050560).

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

54988560506880 is a wasteful number, since it uses less digits than its factorization.

54988560506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 72.

The spelling of 54988560506880 in words is "fifty-four trillion, nine hundred eighty-eight billion, five hundred sixty million, five hundred six thousand, eight hundred eighty".