51102512000 has 128 divisors (see below), whose sum is σ = 127664203680. Its totient is φ = 20342784000.

The previous prime is 51102511961. The next prime is 51102512017. The reversal of 51102512000 is 21520115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51102512000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51102512000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3368432 + ... + 3383568.

Almost surely, 2^51102512000 is an apocalyptic number.

51102512000 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 51102512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63832101840).

51102512000 is an abundant number, since it is smaller than the sum of its proper divisors (76561691680).

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

51102512000 is a wasteful number, since it uses less digits than its factorization.

51102512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15377 (or 15355 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The spelling of 51102512000 in words is "fifty-one billion, one hundred two million, five hundred twelve thousand".