526787874816 has 416 divisors, whose sum is σ = 1706317666560. Its totient is φ = 141104775168.

The previous prime is 526787874763. The next prime is 526787874817. The reversal of 526787874816 is 618478787625.

It is not an unprimeable number, because it can be changed into a prime (526787874817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492785130 + ... + 492786198.

It is an arithmetic number, because the mean of its divisors is an integer number (4101725160).

Almost surely, 2^526787874816 is an apocalyptic number.

526787874816 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 526787874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853158833280).

526787874816 is an abundant number, since it is smaller than the sum of its proper divisors (1179529791744).

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

526787874816 is a wasteful number, since it uses less digits than its factorization.

526787874816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1435 counting only the distinct ones).

The product of its digits is 252887040, while the sum is 69.

The spelling of 526787874816 in words is "five hundred twenty-six billion, seven hundred eighty-seven million, eight hundred seventy-four thousand, eight hundred sixteen".