526414020000 has 960 divisors, whose sum is σ = 1951272892800. Its totient is φ = 123136000000.

The previous prime is 526414019987. The next prime is 526414020071. The reversal of 526414020000 is 20414625.

It is a super-2 number, since 2×526414020000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 159 ways as a sum of consecutive naturals, for example, 3532979926 + ... + 3532980074.

It is an arithmetic number, because the mean of its divisors is an integer number (2032575930).

Almost surely, 2^526414020000 is an apocalyptic number.

526414020000 is a gapful number since it is divisible by the number (50) 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 526414020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975636446400).

526414020000 is an abundant number, since it is smaller than the sum of its proper divisors (1424858872800).

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

526414020000 is a wasteful number, since it uses less digits than its factorization.

526414020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 526414020000 its reverse (20414625), we get a palindrome (526434434625).

The spelling of 526414020000 in words is "five hundred twenty-six billion, four hundred fourteen million, twenty thousand".