52686239311104 has 1296 divisors, whose sum is σ = 179053243161408. Its totient is φ = 13702026756096.

The previous prime is 52686239311091. The next prime is 52686239311127. The reversal of 52686239311104 is 40111393268625.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52844773134 + ... + 52844774130.

Almost surely, 2^{52686239311104} 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 52686239311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89526621580704).

52686239311104 is an abundant number, since it is smaller than the sum of its proper divisors (126367003850304).

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

52686239311104 is a wasteful number, since it uses less digits than its factorization.

52686239311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 52686239311104 in words is "fifty-two trillion, six hundred eighty-six billion, two hundred thirty-nine million, three hundred eleven thousand, one hundred four".