523970274960 has 640 divisors, whose sum is σ = 2096608665600. Its totient is φ = 118866862080.

The previous prime is 523970274937. The next prime is 523970274983. The reversal of 523970274960 is 69472079325.

523970274960 is a `hidden beast` number, since 52 + 39 + 70 + 2 + 7 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (523970274937) and next prime (523970274983).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 523970274897 and 523970274906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72298057 + ... + 72305303.

It is an arithmetic number, because the mean of its divisors is an integer number (3275951040).

Almost surely, 2^523970274960 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 523970274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048304332800).

523970274960 is an abundant number, since it is smaller than the sum of its proper divisors (1572638390640).

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

523970274960 is a wasteful number, since it uses less digits than its factorization.

523970274960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 523970274960 in words is "five hundred twenty-three billion, nine hundred seventy million, two hundred seventy-four thousand, nine hundred sixty".