55066400400 has 480 divisors, whose sum is σ = 204919027200. Its totient is φ = 12499660800.

The previous prime is 55066400329. The next prime is 55066400401. The reversal of 55066400400 is 400466055.

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

It is not an unprimeable number, because it can be changed into a prime (55066400401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22319967 + ... + 22322433.

It is an arithmetic number, because the mean of its divisors is an integer number (426914640).

Almost surely, 2^55066400400 is an apocalyptic number.

55066400400 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 55066400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102459513600).

55066400400 is an abundant number, since it is smaller than the sum of its proper divisors (149852626800).

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

55066400400 is a wasteful number, since it uses less digits than its factorization.

55066400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 55066400400 its reverse (400466055), we get a palindrome (55466866455).

The spelling of 55066400400 in words is "fifty-five billion, sixty-six million, four hundred thousand, four hundred".