550517990400 has 2640 divisors, whose sum is σ = 2600547054336. Its totient is φ = 112113745920.

The previous prime is 550517990389. The next prime is 550517990413. The reversal of 550517990400 is 4099715055.

550517990400 is a `hidden beast` number, since 5 + 5 + 0 + 517 + 9 + 90 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5675443152 + ... + 5675443248.

Almost surely, 2^550517990400 is an apocalyptic number.

550517990400 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 550517990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300273527168).

550517990400 is an abundant number, since it is smaller than the sum of its proper divisors (2050029063936).

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

550517990400 is a wasteful number, since it uses less digits than its factorization.

550517990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 550517990400 in words is "five hundred fifty billion, five hundred seventeen million, nine hundred ninety thousand, four hundred".