526088561040 has 640 divisors, whose sum is σ = 2124618777600. Its totient is φ = 117170012160.

The previous prime is 526088561039. The next prime is 526088561059. The reversal of 526088561040 is 40165880625.

526088561040 is a `hidden beast` number, since 5 + 2 + 6 + 0 + 88 + 561 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100530264 + ... + 100535496.

It is an arithmetic number, because the mean of its divisors is an integer number (3319716840).

Almost surely, 2^526088561040 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 526088561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062309388800).

526088561040 is an abundant number, since it is smaller than the sum of its proper divisors (1598530216560).

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

526088561040 is a wasteful number, since it uses less digits than its factorization.

526088561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 526088561040 in words is "five hundred twenty-six billion, eighty-eight million, five hundred sixty-one thousand, forty".