55542400000 has 264 divisors, whose sum is σ = 147086726472. Its totient is φ = 20889600000.

The previous prime is 55542399989. The next prime is 55542400007. The reversal of 55542400000 is 424555.

It can be written as a sum of positive squares in 12 ways, for example, as 52730855424 + 2811544576 = 229632^2 + 53024^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (55542400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54399490 + ... + 54400510.

Almost surely, 2^55542400000 is an apocalyptic number.

55542400000 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 55542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543363236).

55542400000 is an abundant number, since it is smaller than the sum of its proper divisors (91544326472).

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

55542400000 is an equidigital number, since it uses as much as digits as its factorization.

55542400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Adding to 55542400000 its reverse (424555), we get a palindrome (55542824555).

The spelling of 55542400000 in words is "fifty-five billion, five hundred forty-two million, four hundred thousand".