526134241920 has 512 divisors, whose sum is σ = 1998207221760. Its totient is φ = 115218432000.

The previous prime is 526134241847. The next prime is 526134241961. The reversal of 526134241920 is 29142431625.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42074389 + ... + 42086891.

It is an arithmetic number, because the mean of its divisors is an integer number (3902748480).

Almost surely, 2^526134241920 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 526134241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999103610880).

526134241920 is an abundant number, since it is smaller than the sum of its proper divisors (1472072979840).

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

526134241920 is a wasteful number, since it uses less digits than its factorization.

526134241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12664 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 526134241920 in words is "five hundred twenty-six billion, one hundred thirty-four million, two hundred forty-one thousand, nine hundred twenty".