526400553456 has 30 divisors (see below), whose sum is σ = 1473190438200. Its totient is φ = 175466851104.

The previous prime is 526400553451. The next prime is 526400553473. The reversal of 526400553456 is 654355004625.

526400553456 is a `hidden beast` number, since 5 + 2 + 6 + 40 + 0 + 553 + 4 + 56 = 666.

It is a super-2 number, since 2×526400553456² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526400553451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1827779556 + ... + 1827779843.

It is an arithmetic number, because the mean of its divisors is an integer number (49106347940).

Almost surely, 2^526400553456 is an apocalyptic number.

It is an amenable number.

526400553456 is an abundant number, since it is smaller than the sum of its proper divisors (946789884744).

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

526400553456 is a wasteful number, since it uses less digits than its factorization.

526400553456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655559413 (or 3655559404 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 526400553456 in words is "five hundred twenty-six billion, four hundred million, five hundred fifty-three thousand, four hundred fifty-six".