5201005904640 has 1728 divisors, whose sum is σ = 23408005211136. Its totient is φ = 1076339736576.

The previous prime is 5201005904543. The next prime is 5201005904641. The reversal of 5201005904640 is 464095001025.

5201005904640 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 0 + 0 + 5 + 9 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 5201005904595 and 5201005904604.

It is not an unprimeable number, because it can be changed into a prime (5201005904641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1500144187 + ... + 1500147653.

It is an arithmetic number, because the mean of its divisors is an integer number (13546299312).

Almost surely, 2^{5201005904640} 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 5201005904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704002605568).

5201005904640 is an abundant number, since it is smaller than the sum of its proper divisors (18206999306496).

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

5201005904640 is a wasteful number, since it uses less digits than its factorization.

5201005904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5201005904640 in words is "five trillion, two hundred one billion, five million, nine hundred four thousand, six hundred forty".