5527648125450 has 1152 divisors, whose sum is σ = 18005147596800. Its totient is φ = 1248234624000.

The previous prime is 5527648125437. The next prime is 5527648125463. The reversal of 5527648125450 is 545218467255.

5527648125450 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 64 + 8 + 125 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (5527648125437) and next prime (5527648125463).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14584823361 + ... + 14584823739.

It is an arithmetic number, because the mean of its divisors is an integer number (15629468400).

Almost surely, 2^{5527648125450} is an apocalyptic number.

5527648125450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5527648125450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002573798400).

5527648125450 is an abundant number, since it is smaller than the sum of its proper divisors (12477499471350).

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

5527648125450 is a wasteful number, since it uses less digits than its factorization.

5527648125450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 5527648125450 in words is "five trillion, five hundred twenty-seven billion, six hundred forty-eight million, one hundred twenty-five thousand, four hundred fifty".