552606350400 has 252 divisors, whose sum is σ = 2115178273572. Its totient is φ = 136026132480.

The previous prime is 552606350399. The next prime is 552606350407. The reversal of 552606350400 is 4053606255.

It is a happy number.

552606350400 is a `hidden beast` number, since 5 + 5 + 2 + 606 + 3 + 5 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 105513984 + 552500836416 = 10272^2 + 743304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (552606350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1288779 + ... + 1663178.

Almost surely, 2^552606350400 is an apocalyptic number.

552606350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

552606350400 is an abundant number, since it is smaller than the sum of its proper divisors (1562571923172).

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

552606350400 is a wasteful number, since it uses less digits than its factorization.

552606350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951998 (or 2951980 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 552606350400 its reverse (4053606255), we get a palindrome (556659956655).

The spelling of 552606350400 in words is "five hundred fifty-two billion, six hundred six million, three hundred fifty thousand, four hundred".