526056960000 has 1040 divisors, whose sum is σ = 2063471477760. Its totient is φ = 117473280000.

The previous prime is 526056959993. The next prime is 526056960047. The reversal of 526056960000 is 69650625.

526056960000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1098239761 + ... + 1098240239.

Almost surely, 2^526056960000 is an apocalyptic number.

526056960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526056960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031735738880).

526056960000 is an abundant number, since it is smaller than the sum of its proper divisors (1537414517760).

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

526056960000 is a wasteful number, since it uses less digits than its factorization.

526056960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 526056960000 in words is "five hundred twenty-six billion, fifty-six million, nine hundred sixty thousand".