55033406400 has 1344 divisors, whose sum is σ = 235116380160. Its totient is φ = 10975641600.

The previous prime is 55033406399. The next prime is 55033406473. The reversal of 55033406400 is 460433055.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 775118365 + ... + 775118435.

Almost surely, 2^55033406400 is an apocalyptic number.

55033406400 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 55033406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117558190080).

55033406400 is an abundant number, since it is smaller than the sum of its proper divisors (180082973760).

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

55033406400 is a wasteful number, since it uses less digits than its factorization.

55033406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 55033406400 its reverse (460433055), we get a palindrome (55493839455).

The spelling of 55033406400 in words is "fifty-five billion, thirty-three million, four hundred six thousand, four hundred".