512400969696 has 384 divisors, whose sum is σ = 1701831720960. Its totient is φ = 131123865600.

The previous prime is 512400969649. The next prime is 512400969727. The reversal of 512400969696 is 696969004215.

It is a happy number.

It is a super-2 number, since 2×512400969696² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 482941006 + ... + 482942066.

It is an arithmetic number, because the mean of its divisors is an integer number (4431853440).

Almost surely, 2^512400969696 is an apocalyptic number.

512400969696 is a gapful number since it is divisible by the number (56) 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 512400969696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850915860480).

512400969696 is an abundant number, since it is smaller than the sum of its proper divisors (1189430751264).

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

512400969696 is a wasteful number, since it uses less digits than its factorization.

512400969696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 512400969696 in words is "five hundred twelve billion, four hundred million, nine hundred sixty-nine thousand, six hundred ninety-six".