552253980672072 has 192 divisors, whose sum is σ = 1732248605068800. Its totient is φ = 155676724968960.

The previous prime is 552253980672047. The next prime is 552253980672101. The reversal of 552253980672072 is 270276089352255.

It is a happy number.

552253980672072 is a `hidden beast` number, since 5 + 5 + 2 + 2 + 539 + 8 + 0 + 6 + 7 + 20 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49964118 + ... + 60007674.

It is an arithmetic number, because the mean of its divisors is an integer number (9022128151400).

Almost surely, 2^{552253980672072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552253980672072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866124302534400).

552253980672072 is an abundant number, since it is smaller than the sum of its proper divisors (1179994624396728).

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

552253980672072 is a wasteful number, since it uses less digits than its factorization.

552253980672072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045036 (or 10045029 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 552253980672072 in words is "five hundred fifty-two trillion, two hundred fifty-three billion, nine hundred eighty million, six hundred seventy-two thousand, seventy-two".