526199641632 has 1344 divisors, whose sum is σ = 1989485245440. Its totient is φ = 133509316608.

The previous prime is 526199641607. The next prime is 526199641633. The reversal of 526199641632 is 236146991625.

526199641632 is a `hidden beast` number, since 5 + 2 + 6 + 199 + 6 + 416 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (526199641633) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4827519594 + ... + 4827519702.

It is an arithmetic number, because the mean of its divisors is an integer number (1480271760).

Almost surely, 2^526199641632 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 526199641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994742622720).

526199641632 is an abundant number, since it is smaller than the sum of its proper divisors (1463285603808).

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

526199641632 is a wasteful number, since it uses less digits than its factorization.

526199641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 526199641632 in words is "five hundred twenty-six billion, one hundred ninety-nine million, six hundred forty-one thousand, six hundred thirty-two".