55389306470400 has 3240 divisors, whose sum is σ = 246075683804496. Its totient is φ = 12307031654400.

The previous prime is 55389306470389. The next prime is 55389306470401. The reversal of 55389306470400 is 407460398355.

55389306470400 is a `hidden beast` number, since 5 + 5 + 3 + 89 + 30 + 64 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55389306470401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 199961395062 + ... + 199961395338.

Almost surely, 2^{55389306470400} is an apocalyptic number.

55389306470400 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 55389306470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123037841902248).

55389306470400 is an abundant number, since it is smaller than the sum of its proper divisors (190686377334096).

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

55389306470400 is an equidigital number, since it uses as much as digits as its factorization.

55389306470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 55389306470400 in words is "fifty-five trillion, three hundred eighty-nine billion, three hundred six million, four hundred seventy thousand, four hundred".