520552368000 has 384 divisors, whose sum is σ = 2136499784640. Its totient is φ = 118983168000.

The previous prime is 520552367983. The next prime is 520552368023. The reversal of 520552368000 is 863255025.

It is a happy number.

520552368000 is a `hidden beast` number, since 5 + 20 + 552 + 3 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 749790 + ... + 1266210.

Almost surely, 2^520552368000 is an apocalyptic number.

520552368000 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 520552368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068249892320).

520552368000 is an abundant number, since it is smaller than the sum of its proper divisors (1615947416640).

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

520552368000 is a wasteful number, since it uses less digits than its factorization.

520552368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516463 (or 516438 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 520552368000 in words is "five hundred twenty billion, five hundred fifty-two million, three hundred sixty-eight thousand".