52086162240 has 1120 divisors, whose sum is σ = 231021331200. Its totient is φ = 10868981760.

The previous prime is 52086162239. The next prime is 52086162281. The reversal of 52086162240 is 4226168025.

It is a happy number.

52086162240 is a `hidden beast` number, since 5 + 20 + 8 + 6 + 1 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52086162195 and 52086162204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99973180 + ... + 99973700.

Almost surely, 2^52086162240 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 52086162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115510665600).

52086162240 is an abundant number, since it is smaller than the sum of its proper divisors (178935168960).

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

52086162240 is a wasteful number, since it uses less digits than its factorization.

52086162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 52086162240 in words is "fifty-two billion, eighty-six million, one hundred sixty-two thousand, two hundred forty".