55844006400 has 1080 divisors, whose sum is σ = 250690884444. Its totient is φ = 11766988800.

The previous prime is 55844006381. The next prime is 55844006419. The reversal of 55844006400 is 460044855.

55844006400 is a `hidden beast` number, since 5 + 5 + 8 + 4 + 4 + 0 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55844006381) and next prime (55844006419).

It can be written as a sum of positive squares in 6 ways, for example, as 366799104 + 55477207296 = 19152^2 + 235536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73382020 + ... + 73382780.

Almost surely, 2^55844006400 is an apocalyptic number.

55844006400 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 55844006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125345442222).

55844006400 is an abundant number, since it is smaller than the sum of its proper divisors (194846878044).

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

55844006400 is a wasteful number, since it uses less digits than its factorization.

55844006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 55844006400 in words is "fifty-five billion, eight hundred forty-four million, six thousand, four hundred".