512235500640 has 192 divisors, whose sum is σ = 1661020784640. Its totient is φ = 132594001920.

The previous prime is 512235500627. The next prime is 512235500659. The reversal of 512235500640 is 46005532215.

It is a super-2 number, since 2×512235500640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7621101 + ... + 7688019.

It is an arithmetic number, because the mean of its divisors is an integer number (8651149920).

Almost surely, 2^512235500640 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 512235500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830510392320).

512235500640 is an abundant number, since it is smaller than the sum of its proper divisors (1148785284000).

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

512235500640 is a wasteful number, since it uses less digits than its factorization.

512235500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67405 (or 67397 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 512235500640 in words is "five hundred twelve billion, two hundred thirty-five million, five hundred thousand, six hundred forty".