5542656000 has 384 divisors, whose sum is σ = 21096391680. Its totient is φ = 1265664000.

The previous prime is 5542655983. The next prime is 5542656023. The reversal of 5542656000 is 6562455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375485 + ... + 5376515.

It is an arithmetic number, because the mean of its divisors is an integer number (54938520).

Almost surely, 2^5542656000 is an apocalyptic number.

5542656000 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 5542656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548195840).

5542656000 is an abundant number, since it is smaller than the sum of its proper divisors (15553735680).

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

5542656000 is a wasteful number, since it uses less digits than its factorization.

5542656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 5542656000 is about 74449.0161116989. The cubic root of 5542656000 is about 1769.7257706597.

The spelling of 5542656000 in words is "five billion, five hundred forty-two million, six hundred fifty-six thousand".