55354545400 has 288 divisors, whose sum is σ = 164882304000. Its totient is φ = 17088556800.

The previous prime is 55354545391. The next prime is 55354545409. The reversal of 55354545400 is 454545355.

It is an interprime number because it is at equal distance from previous prime (55354545391) and next prime (55354545409).

It is a super-2 number, since 2×55354545400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55354545409) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11532201 + ... + 11536999.

It is an arithmetic number, because the mean of its divisors is an integer number (572508000).

Almost surely, 2^55354545400 is an apocalyptic number.

55354545400 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 55354545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82441152000).

55354545400 is an abundant number, since it is smaller than the sum of its proper divisors (109527758600).

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

55354545400 is a wasteful number, since it uses less digits than its factorization.

55354545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 40.

The spelling of 55354545400 in words is "fifty-five billion, three hundred fifty-four million, five hundred forty-five thousand, four hundred".