55415035200 has 672 divisors, whose sum is σ = 222457507840. Its totient is φ = 11794636800.

The previous prime is 55415035199. The next prime is 55415035213. The reversal of 55415035200 is 253051455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×55415035200² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38941689 + ... + 38943111.

Almost surely, 2^55415035200 is an apocalyptic number.

55415035200 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 55415035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111228753920).

55415035200 is an abundant number, since it is smaller than the sum of its proper divisors (167042472640).

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

55415035200 is a wasteful number, since it uses less digits than its factorization.

55415035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

Adding to 55415035200 its reverse (253051455), we get a palindrome (55668086655).

The spelling of 55415035200 in words is "fifty-five billion, four hundred fifteen million, thirty-five thousand, two hundred".