514890195820 has 288 divisors, whose sum is σ = 1492087274496. Its totient is φ = 146697868800.

The previous prime is 514890195817. The next prime is 514890195821. The reversal of 514890195820 is 28591098415.

It is a happy number.

It is a super-2 number, since 2×514890195820² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (514890195821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14416585 + ... + 14452255.

It is an arithmetic number, because the mean of its divisors is an integer number (5180858592).

Almost surely, 2^514890195820 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 514890195820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746043637248).

514890195820 is an abundant number, since it is smaller than the sum of its proper divisors (977197078676).

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

514890195820 is a wasteful number, since it uses less digits than its factorization.

514890195820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35821 (or 35812 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 52.

The spelling of 514890195820 in words is "five hundred fourteen billion, eight hundred ninety million, one hundred ninety-five thousand, eight hundred twenty".