552367503360 has 1152 divisors, whose sum is σ = 2162726092800. Its totient is φ = 133559746560.

The previous prime is 552367503341. The next prime is 552367503379. The reversal of 552367503360 is 63305763255.

552367503360 is a `hidden beast` number, since 5 + 5 + 23 + 67 + 503 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (552367503341) and next prime (552367503379).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×552367503360² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2476984209 + ... + 2476984431.

It is an arithmetic number, because the mean of its divisors is an integer number (1877366400).

Almost surely, 2^552367503360 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 552367503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081363046400).

552367503360 is an abundant number, since it is smaller than the sum of its proper divisors (1610358589440).

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

552367503360 is a wasteful number, since it uses less digits than its factorization.

552367503360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 45.

The spelling of 552367503360 in words is "five hundred fifty-two billion, three hundred sixty-seven million, five hundred three thousand, three hundred sixty".