510104051164400 has 480 divisors, whose sum is σ = 1613894781075456. Its totient is φ = 150286389120000.

The previous prime is 510104051164349. The next prime is 510104051164447. The reversal of 510104051164400 is 4461150401015.

It is a super-2 number, since 2×510104051164400² (a number of 30 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 (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34844165 + ... + 47268635.

Almost surely, 2^{510104051164400} is an apocalyptic number.

510104051164400 is a gapful number since it is divisible by the number (50) 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 510104051164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806947390537728).

510104051164400 is an abundant number, since it is smaller than the sum of its proper divisors (1103790729911056).

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

510104051164400 is a wasteful number, since it uses less digits than its factorization.

510104051164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424581 (or 12424570 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 510104051164400 in words is "five hundred ten trillion, one hundred four billion, fifty-one million, one hundred sixty-four thousand, four hundred".