526049007120 has 1280 divisors, whose sum is σ = 2306919014400. Its totient is φ = 107226685440.

The previous prime is 526049007091. The next prime is 526049007161. The reversal of 526049007120 is 21700940625.

526049007120 is a `hidden beast` number, since 526 + 0 + 4 + 9 + 0 + 0 + 7 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 921276435 + ... + 921277005.

It is an arithmetic number, because the mean of its divisors is an integer number (1802280480).

Almost surely, 2^526049007120 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 526049007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153459507200).

526049007120 is an abundant number, since it is smaller than the sum of its proper divisors (1780870007280).

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

526049007120 is a wasteful number, since it uses less digits than its factorization.

526049007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 526049007120 its reverse (21700940625), we get a palindrome (547749947745).

The spelling of 526049007120 in words is "five hundred twenty-six billion, forty-nine million, seven thousand, one hundred twenty".