520106400000 has 1296 divisors, whose sum is σ = 2123707824000. Its totient is φ = 125452800000.

The previous prime is 520106399971. The next prime is 520106400031. The reversal of 520106400000 is 4601025.

It is a happy number.

520106400000 is a `hidden beast` number, since 5 + 20 + 1 + 0 + 640 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2613599901 + ... + 2613600099.

Almost surely, 2^520106400000 is an apocalyptic number.

520106400000 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 520106400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061853912000).

520106400000 is an abundant number, since it is smaller than the sum of its proper divisors (1603601424000).

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

520106400000 is an equidigital number, since it uses as much as digits as its factorization.

520106400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 520106400000 in words is "five hundred twenty billion, one hundred six million, four hundred thousand".