510772549789440 has 216 divisors, whose sum is σ = 1767507741941760. Its totient is φ = 136183821852672.

The previous prime is 510772549789433. The next prime is 510772549789441. The reversal of 510772549789440 is 44987945277015.

510772549789440 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 7 + 2 + 5 + 497 + 8 + 94 + 40 = 666.

It is a super-3 number, since 3×510772549789440³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510772549789441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67158546 + ... + 74376174.

Almost surely, 2^{510772549789440} 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 510772549789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883753870970880).

510772549789440 is an abundant number, since it is smaller than the sum of its proper divisors (1256735192152320).

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

510772549789440 is a wasteful number, since it uses less digits than its factorization.

510772549789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223799 (or 7223782 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 510772549789440 in words is "five hundred ten trillion, seven hundred seventy-two billion, five hundred forty-nine million, seven hundred eighty-nine thousand, four hundred forty".