5203146960 has 480 divisors, whose sum is σ = 20390123520. Its totient is φ = 1175731200.

The previous prime is 5203146959. The next prime is 5203146967. The reversal of 5203146960 is 696413025.

It is a happy number.

5203146960 is a `hidden beast` number, since 520 + 3 + 1 + 46 + 96 + 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 not an unprimeable number, because it can be changed into a prime (5203146967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10683837 + ... + 10684323.

It is an arithmetic number, because the mean of its divisors is an integer number (42479424).

Almost surely, 2^5203146960 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 5203146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195061760).

5203146960 is an abundant number, since it is smaller than the sum of its proper divisors (15186976560).

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

5203146960 is a wasteful number, since it uses less digits than its factorization.

5203146960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5203146960 is about 72132.8424505786. The cubic root of 5203146960 is about 1732.8276299234.

Adding to 5203146960 its reverse (696413025), we get a palindrome (5899559985).

The spelling of 5203146960 in words is "five billion, two hundred three million, one hundred forty-six thousand, nine hundred sixty".