51697117034352 has 480 divisors, whose sum is σ = 157006030970880. Its totient is φ = 15832426199040.

The previous prime is 51697117034347. The next prime is 51697117034413. The reversal of 51697117034352 is 25343071179615.

51697117034352 is a `hidden beast` number, since 5 + 1 + 6 + 97 + 1 + 170 + 34 + 352 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14214217878 + ... + 14214221514.

It is an arithmetic number, because the mean of its divisors is an integer number (327095897856).

Almost surely, 2^{51697117034352} 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 51697117034352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78503015485440).

51697117034352 is an abundant number, since it is smaller than the sum of its proper divisors (105308913936528).

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

51697117034352 is a wasteful number, since it uses less digits than its factorization.

51697117034352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 51697117034352 in words is "fifty-one trillion, six hundred ninety-seven billion, one hundred seventeen million, thirty-four thousand, three hundred fifty-two".