51188814653760 has 672 divisors, whose sum is σ = 210029546668032. Its totient is φ = 11188392652800.

The previous prime is 51188814653731. The next prime is 51188814653761. The reversal of 51188814653760 is 6735641888115.

It is a happy number.

51188814653760 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 8 + 81 + 465 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51188814653761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1857951985 + ... + 1857979535.

It is an arithmetic number, because the mean of its divisors is an integer number (312543968256).

Almost surely, 2^{51188814653760} 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 51188814653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105014773334016).

51188814653760 is an abundant number, since it is smaller than the sum of its proper divisors (158840732014272).

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

51188814653760 is a wasteful number, since it uses less digits than its factorization.

51188814653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31611 (or 31598 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 51188814653760 in words is "fifty-one trillion, one hundred eighty-eight billion, eight hundred fourteen million, six hundred fifty-three thousand, seven hundred sixty".