5201107200000 has 1440 divisors, whose sum is σ = 19818531532800. Its totient is φ = 1358622720000.

The previous prime is 5201107199983. The next prime is 5201107200013. The reversal of 5201107200000 is 27011025.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5201107200000² (a number of 26 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 40953599937 + ... + 40953600063.

It is an arithmetic number, because the mean of its divisors is an integer number (13762869120).

Almost surely, 2^{5201107200000} is an apocalyptic number.

5201107200000 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 5201107200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909265766400).

5201107200000 is an abundant number, since it is smaller than the sum of its proper divisors (14617424332800).

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

5201107200000 is an frugal number, since it uses more digits than its factorization.

5201107200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The spelling of 5201107200000 in words is "five trillion, two hundred one billion, one hundred seven million, two hundred thousand".