52346177859096 has 384 divisors, whose sum is σ = 175297206240000. Its totient is φ = 13903907143680.

The previous prime is 52346177859029. The next prime is 52346177859119. The reversal of 52346177859096 is 69095877164325.

52346177859096 is a `hidden beast` number, since 5 + 2 + 3 + 461 + 7 + 78 + 5 + 9 + 0 + 96 = 666.

It is a super-2 number, since 2×52346177859096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 13359040 + ... + 16827248.

It is an arithmetic number, because the mean of its divisors is an integer number (456503141250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅52346177859096 = 104692355718192, but 3⋅52346177859096 = 157038533577288 is not.

Almost surely, 2^{52346177859096} 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 52346177859096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87648603120000).

52346177859096 is an abundant number, since it is smaller than the sum of its proper divisors (122951028380904).

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

52346177859096 is a wasteful number, since it uses less digits than its factorization.

52346177859096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468327 (or 3468320 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 52346177859096 in words is "fifty-two trillion, three hundred forty-six billion, one hundred seventy-seven million, eight hundred fifty-nine thousand, ninety-six".