520216319700 has 864 divisors, whose sum is σ = 2219347952640. Its totient is φ = 102400588800.

The previous prime is 520216319699. The next prime is 520216319747. The reversal of 520216319700 is 7913612025.

520216319700 is a `hidden beast` number, since 520 + 2 + 1 + 63 + 1 + 9 + 70 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35543584 + ... + 35558216.

It is an arithmetic number, because the mean of its divisors is an integer number (2568689760).

Almost surely, 2^520216319700 is an apocalyptic number.

520216319700 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 520216319700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109673976320).

520216319700 is an abundant number, since it is smaller than the sum of its proper divisors (1699131632940).

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

520216319700 is a wasteful number, since it uses less digits than its factorization.

520216319700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14699 (or 14680 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 520216319700 in words is "five hundred twenty billion, two hundred sixteen million, three hundred nineteen thousand, seven hundred".