51414463656750 has 128 divisors (see below), whose sum is σ = 129485998946304. Its totient is φ = 13587613440000.

The previous prime is 51414463656749. The next prime is 51414463656757. The reversal of 51414463656750 is 5765636441415.

It is a happy number.

It is a super-2 number, since 2×51414463656750² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51414463656757) 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, 37393975 + ... + 38744525.

It is an arithmetic number, because the mean of its divisors is an integer number (1011609366768).

Almost surely, 2^{51414463656750} is an apocalyptic number.

51414463656750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51414463656750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64742999473152).

51414463656750 is an abundant number, since it is smaller than the sum of its proper divisors (78071535289554).

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

51414463656750 is a wasteful number, since it uses less digits than its factorization.

51414463656750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351027 (or 1351017 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 51414463656750 in words is "fifty-one trillion, four hundred fourteen billion, four hundred sixty-three million, six hundred fifty-six thousand, seven hundred fifty".