512780970240 has 1296 divisors, whose sum is σ = 2267180435520. Its totient is φ = 105810001920.

The previous prime is 512780970227. The next prime is 512780970259. The reversal of 512780970240 is 42079087215.

It is a happy number.

512780970240 is a `hidden beast` number, since 51 + 278 + 0 + 97 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1670296167 + ... + 1670296473.

It is an arithmetic number, because the mean of its divisors is an integer number (1749367620).

Almost surely, 2^512780970240 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 512780970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133590217760).

512780970240 is an abundant number, since it is smaller than the sum of its proper divisors (1754399465280).

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

512780970240 is a wasteful number, since it uses less digits than its factorization.

512780970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 512780970240 in words is "five hundred twelve billion, seven hundred eighty million, nine hundred seventy thousand, two hundred forty".