5529705306048 has 896 divisors, whose sum is σ = 21413287526400. Its totient is φ = 1357209907200.

The previous prime is 5529705306023. The next prime is 5529705306079. The reversal of 5529705306048 is 8406035079255.

5529705306048 is a `hidden beast` number, since 5 + 5 + 2 + 9 + 7 + 0 + 530 + 60 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5529705305985 and 5529705306003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181340083 + ... + 181370573.

It is an arithmetic number, because the mean of its divisors is an integer number (23898758400).

Almost surely, 2^{5529705306048} is an apocalyptic number.

5529705306048 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5529705306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706643763200).

5529705306048 is an abundant number, since it is smaller than the sum of its proper divisors (15883582220352).

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

5529705306048 is a wasteful number, since it uses less digits than its factorization.

5529705306048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30606 (or 30590 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 5529705306048 in words is "five trillion, five hundred twenty-nine billion, seven hundred five million, three hundred six thousand, forty-eight".