526412542656 has 448 divisors, whose sum is σ = 1873408674816. Its totient is φ = 125986406400.

The previous prime is 526412542637. The next prime is 526412542657. The reversal of 526412542656 is 656245214625.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×526412542656² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (526412542657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123192936 + ... + 123197208.

It is an arithmetic number, because the mean of its divisors is an integer number (4181715792).

Almost surely, 2^526412542656 is an apocalyptic number.

526412542656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526412542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936704337408).

526412542656 is an abundant number, since it is smaller than the sum of its proper divisors (1346996132160).

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

526412542656 is a wasteful number, since it uses less digits than its factorization.

526412542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4950 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 526412542656 in words is "five hundred twenty-six billion, four hundred twelve million, five hundred forty-two thousand, six hundred fifty-six".