5488955539200 has 3888 divisors, whose sum is σ = 26503873643520. Its totient is φ = 1113652592640.

The previous prime is 5488955539157. The next prime is 5488955539229. The reversal of 5488955539200 is 29355598845.

5488955539200 is a `hidden beast` number, since 5 + 4 + 8 + 8 + 95 + 5 + 539 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×5488955539200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 24614150289 + ... + 24614150511.

Almost surely, 2^{5488955539200} is an apocalyptic number.

5488955539200 is a gapful number since it is divisible by the number (50) 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 5488955539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251936821760).

5488955539200 is an abundant number, since it is smaller than the sum of its proper divisors (21014918104320).

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

5488955539200 is a wasteful number, since it uses less digits than its factorization.

5488955539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 5488955539200 in words is "five trillion, four hundred eighty-eight billion, nine hundred fifty-five million, five hundred thirty-nine thousand, two hundred".