526540805280 has 864 divisors, whose sum is σ = 2155616281728. Its totient is φ = 116644147200.

The previous prime is 526540805269. The next prime is 526540805309. The reversal of 526540805280 is 82508045625.

It is a happy number.

526540805280 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 40 + 80 + 528 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 305594499 + ... + 305596221.

It is an arithmetic number, because the mean of its divisors is an integer number (2494926252).

Almost surely, 2^526540805280 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 526540805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077808140864).

526540805280 is an abundant number, since it is smaller than the sum of its proper divisors (1629075476448).

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

526540805280 is a wasteful number, since it uses less digits than its factorization.

526540805280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 526540805280 in words is "five hundred twenty-six billion, five hundred forty million, eight hundred five thousand, two hundred eighty".