551314335510400 has 864 divisors, whose sum is σ = 1769941831863240. Its totient is φ = 169020859392000.

The previous prime is 551314335510349. The next prime is 551314335510401. The reversal of 551314335510400 is 4015533413155.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551314335510401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1157102619 + ... + 1157578981.

Almost surely, 2^{551314335510400} is an apocalyptic number.

551314335510400 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 551314335510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884970915931620).

551314335510400 is an abundant number, since it is smaller than the sum of its proper divisors (1218627496352840).

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

551314335510400 is a wasteful number, since it uses less digits than its factorization.

551314335510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476484 (or 476449 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

Adding to 551314335510400 its reverse (4015533413155), we get a palindrome (555329868923555).

The spelling of 551314335510400 in words is "five hundred fifty-one trillion, three hundred fourteen billion, three hundred thirty-five million, five hundred ten thousand, four hundred".