5200215450240 has 512 divisors, whose sum is σ = 17416771891200. Its totient is φ = 1318193381376.

The previous prime is 5200215450239. The next prime is 5200215450253. The reversal of 5200215450240 is 420545120025.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5200215450198 and 5200215450207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627697571 + ... + 2627699549.

It is an arithmetic number, because the mean of its divisors is an integer number (34017132600).

Almost surely, 2^{5200215450240} 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 5200215450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708385945600).

5200215450240 is an abundant number, since it is smaller than the sum of its proper divisors (12216556440960).

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

5200215450240 is a wasteful number, since it uses less digits than its factorization.

5200215450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 5200215450240 in words is "five trillion, two hundred billion, two hundred fifteen million, four hundred fifty thousand, two hundred forty".