550655414400 has 1152 divisors, whose sum is σ = 2316367368000. Its totient is φ = 113923031040.

The previous prime is 550655414377. The next prime is 550655414417. The reversal of 550655414400 is 4414556055.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324104751 + ... + 324106449.

Almost surely, 2^550655414400 is an apocalyptic number.

550655414400 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 550655414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158183684000).

550655414400 is an abundant number, since it is smaller than the sum of its proper divisors (1765711953600).

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

550655414400 is a wasteful number, since it uses less digits than its factorization.

550655414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 550655414400 in words is "five hundred fifty billion, six hundred fifty-five million, four hundred fourteen thousand, four hundred".