5488477885440 has 2640 divisors, whose sum is σ = 23914247220864. Its totient is φ = 1191208550400.

The previous prime is 5488477885421. The next prime is 5488477885487. The reversal of 5488477885440 is 445887748845.

5488477885440 is a `hidden beast` number, since 5 + 4 + 8 + 8 + 4 + 7 + 78 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30323082150 + ... + 30323082330.

Almost surely, 2^{5488477885440} 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 5488477885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957123610432).

5488477885440 is an abundant number, since it is smaller than the sum of its proper divisors (18425769335424).

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

5488477885440 is a wasteful number, since it uses less digits than its factorization.

5488477885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1284505600, while the sum is 72.

The spelling of 5488477885440 in words is "five trillion, four hundred eighty-eight billion, four hundred seventy-seven million, eight hundred eighty-five thousand, four hundred forty".