55738320000 has 640 divisors, whose sum is σ = 206942757120. Its totient is φ = 13171200000.

The previous prime is 55738319993. The next prime is 55738320007. The reversal of 55738320000 is 2383755.

It is an interprime number because it is at equal distance from previous prime (55738319993) and next prime (55738320007).

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (55738320007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113519755 + ... + 113520245.

It is an arithmetic number, because the mean of its divisors is an integer number (323348058).

Almost surely, 2^55738320000 is an apocalyptic number.

55738320000 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 55738320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103471378560).

55738320000 is an abundant number, since it is smaller than the sum of its proper divisors (151204437120).

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

55738320000 is a wasteful number, since it uses less digits than its factorization.

55738320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 55738320000 in words is "fifty-five billion, seven hundred thirty-eight million, three hundred twenty thousand".