511399472640 has 640 divisors, whose sum is σ = 2064442152960. Its totient is φ = 105227747328.

The previous prime is 511399472599. The next prime is 511399472641. The reversal of 511399472640 is 46274993115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511399472641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21007996 + ... + 21032324.

It is an arithmetic number, because the mean of its divisors is an integer number (3225690864).

Almost surely, 2^511399472640 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 511399472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032221076480).

511399472640 is an abundant number, since it is smaller than the sum of its proper divisors (1553042680320).

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

511399472640 is a wasteful number, since it uses less digits than its factorization.

511399472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24402 (or 24386 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 511399472640 in words is "five hundred eleven billion, three hundred ninety-nine million, four hundred seventy-two thousand, six hundred forty".