552593012400 has 540 divisors, whose sum is σ = 2269995690144. Its totient is φ = 123655910400.

The previous prime is 552593012353. The next prime is 552593012401. The reversal of 552593012400 is 4210395255.

It is a happy number.

552593012400 is a `hidden beast` number, since 5 + 52 + 593 + 0 + 12 + 4 + 0 + 0 = 666.

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 (552593012401) 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, 5614009 + ... + 5711591.

Almost surely, 2^552593012400 is an apocalyptic number.

552593012400 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 552593012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134997845072).

552593012400 is an abundant number, since it is smaller than the sum of its proper divisors (1717402677744).

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

552593012400 is a wasteful number, since it uses less digits than its factorization.

552593012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97642 (or 97617 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 552593012400 in words is "five hundred fifty-two billion, five hundred ninety-three million, twelve thousand, four hundred".