552300540180480 has 4608 divisors, whose sum is σ = 2694359015712000. Its totient is φ = 105876144783360.

The previous prime is 552300540180457. The next prime is 552300540180539. The reversal of 552300540180480 is 84081045003255.

552300540180480 is a `hidden beast` number, since 5 + 5 + 23 + 0 + 0 + 540 + 1 + 8 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86826052500 + ... + 86826058860.

Almost surely, 2^{552300540180480} 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 552300540180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347179507856000).

552300540180480 is an abundant number, since it is smaller than the sum of its proper divisors (2142058475531520).

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

552300540180480 is a wasteful number, since it uses less digits than its factorization.

552300540180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 552300540180480 in words is "five hundred fifty-two trillion, three hundred billion, five hundred forty million, one hundred eighty thousand, four hundred eighty".