5542508462400 has 4032 divisors, whose sum is σ = 26964607488000. Its totient is φ = 1110517309440.

The previous prime is 5542508462327. The next prime is 5542508462419. The reversal of 5542508462400 is 42648052455.

5542508462400 is a `hidden beast` number, since 5 + 5 + 42 + 508 + 4 + 62 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×5542508462400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 39874161531 + ... + 39874161669.

Almost surely, 2^{5542508462400} is an apocalyptic number.

5542508462400 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 5542508462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482303744000).

5542508462400 is an abundant number, since it is smaller than the sum of its proper divisors (21422099025600).

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

5542508462400 is a wasteful number, since it uses less digits than its factorization.

5542508462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 5542508462400 in words is "five trillion, five hundred forty-two billion, five hundred eight million, four hundred sixty-two thousand, four hundred".