552964147200 has 576 divisors, whose sum is σ = 2040056928000. Its totient is φ = 146810142720.

The previous prime is 552964147199. The next prime is 552964147207. The reversal of 552964147200 is 2741469255.

552964147200 is a `hidden beast` number, since 5 + 5 + 29 + 6 + 414 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (552964147207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371864857 + ... + 371866343.

It is an arithmetic number, because the mean of its divisors is an integer number (3541765500).

Almost surely, 2^552964147200 is an apocalyptic number.

552964147200 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 552964147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020028464000).

552964147200 is an abundant number, since it is smaller than the sum of its proper divisors (1487092780800).

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

552964147200 is a wasteful number, since it uses less digits than its factorization.

552964147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 552964147200 in words is "five hundred fifty-two billion, nine hundred sixty-four million, one hundred forty-seven thousand, two hundred".