55462352400 has 900 divisors, whose sum is σ = 246500836032. Its totient is φ = 11693859840.

The previous prime is 55462352383. The next prime is 55462352437. The reversal of 55462352400 is 425326455.

55462352400 is a `hidden beast` number, since 5 + 5 + 4 + 623 + 5 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38328477 + ... + 38329923.

Almost surely, 2^55462352400 is an apocalyptic number.

55462352400 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 55462352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123250418016).

55462352400 is an abundant number, since it is smaller than the sum of its proper divisors (191038483632).

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

55462352400 is a wasteful number, since it uses less digits than its factorization.

55462352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 55462352400 its reverse (425326455), we get a palindrome (55887678855).

The spelling of 55462352400 in words is "fifty-five billion, four hundred sixty-two million, three hundred fifty-two thousand, four hundred".