51713916041088 has 256 divisors, whose sum is σ = 174539203238400. Its totient is φ = 14766311964672.

The previous prime is 51713916041071. The next prime is 51713916041119. The reversal of 51713916041088 is 88014061931715.

51713916041088 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 3 + 91 + 60 + 410 + 88 = 666.

It is a super-2 number, since 2×51713916041088² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38703456 + ... + 40017312.

It is an arithmetic number, because the mean of its divisors is an integer number (681793762650).

Almost surely, 2^{51713916041088} 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 51713916041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87269601619200).

51713916041088 is an abundant number, since it is smaller than the sum of its proper divisors (122825287197312).

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

51713916041088 is a wasteful number, since it uses less digits than its factorization.

51713916041088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315514 (or 1315496 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 51713916041088 in words is "fifty-one trillion, seven hundred thirteen billion, nine hundred sixteen million, forty-one thousand, eighty-eight".