55477085400 has 1152 divisors, whose sum is σ = 227299737600. Its totient is φ = 11975040000.

The previous prime is 55477085399. The next prime is 55477085401. The reversal of 55477085400 is 458077455.

It is an interprime number because it is at equal distance from previous prime (55477085399) and next prime (55477085401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55477085401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 781367365 + ... + 781367435.

It is an arithmetic number, because the mean of its divisors is an integer number (197308800).

Almost surely, 2^55477085400 is an apocalyptic number.

55477085400 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 55477085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113649868800).

55477085400 is an abundant number, since it is smaller than the sum of its proper divisors (171822652200).

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

55477085400 is a wasteful number, since it uses less digits than its factorization.

55477085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 55477085400 in words is "fifty-five billion, four hundred seventy-seven million, eighty-five thousand, four hundred".