511512223040 has 224 divisors, whose sum is σ = 1529722924800. Its totient is φ = 161884735488.

The previous prime is 511512223003. The next prime is 511512223073. The reversal of 511512223040 is 40322215115.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1247639 + ... + 1606121.

It is an arithmetic number, because the mean of its divisors is an integer number (6829120200).

Almost surely, 2^511512223040 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 511512223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764861462400).

511512223040 is an abundant number, since it is smaller than the sum of its proper divisors (1018210701760).

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

511512223040 is a wasteful number, since it uses less digits than its factorization.

511512223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358534 (or 358510 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 511512223040 its reverse (40322215115), we get a palindrome (551834438155).

The spelling of 511512223040 in words is "five hundred eleven billion, five hundred twelve million, two hundred twenty-three thousand, forty".