512190961152 has 640 divisors, whose sum is σ = 1636695244800. Its totient is φ = 140813697024.

The previous prime is 512190961151. The next prime is 512190961157. The reversal of 512190961152 is 251169091215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512190961151) 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, 689354893 + ... + 689355635.

It is an arithmetic number, because the mean of its divisors is an integer number (2557336320).

Almost surely, 2^512190961152 is an apocalyptic number.

512190961152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512190961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818347622400).

512190961152 is an abundant number, since it is smaller than the sum of its proper divisors (1124504283648).

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

512190961152 is a wasteful number, since it uses less digits than its factorization.

512190961152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 42.

The spelling of 512190961152 in words is "five hundred twelve billion, one hundred ninety million, nine hundred sixty-one thousand, one hundred fifty-two".