526033490576400 has 315 divisors, whose sum is σ = 1894871004479719. Its totient is φ = 140272294786560.

The previous prime is 526033490576393. The next prime is 526033490576411. The reversal of 526033490576400 is 4675094330625.

The square root of 526033490576400 is 22935420.

It is a perfect power (a square), and thus also a powerful number.

526033490576400 is a `hidden beast` number, since 5 + 2 + 60 + 3 + 3 + 4 + 9 + 0 + 576 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123390418799376 + 402643071777024 = 11108124^2 + 20065968^2 .

It is a super-2 number, since 2×526033490576400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12385105564 + ... + 12385148036.

Almost surely, 2^{526033490576400} is an apocalyptic number.

526033490576400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

526033490576400 is the 22935420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526033490576400

526033490576400 is an abundant number, since it is smaller than the sum of its proper divisors (1368837513903319).

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

526033490576400 is an frugal number, since it uses more digits than its factorization.

526033490576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84982 (or 42483 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 526033490576400 in words is "five hundred twenty-six trillion, thirty-three billion, four hundred ninety million, five hundred seventy-six thousand, four hundred".