526055040 has 256 divisors, whose sum is σ = 2129760000. Its totient is φ = 120213504.

The previous prime is 526055039. The next prime is 526055141. The reversal of 526055040 is 40550625.

526055040 is a `hidden beast` number, since 5 + 2 + 605 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 526054995 and 526055013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118786 + ... + 123134.

It is an arithmetic number, because the mean of its divisors is an integer number (8319375).

Almost surely, 2^526055040 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 526055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064880000).

526055040 is an abundant number, since it is smaller than the sum of its proper divisors (1603704960).

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

526055040 is a wasteful number, since it uses less digits than its factorization.

526055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 526055040 is about 22935.8897799933. The cubic root of 526055040 is about 807.2543524604.

The spelling of 526055040 in words is "five hundred twenty-six million, fifty-five thousand, forty".