526427155967328 has 576 divisors, whose sum is σ = 1958355170956800. Its totient is φ = 136040219642880.

The previous prime is 526427155967311. The next prime is 526427155967329. The reversal of 526427155967328 is 823769551724625.

526427155967328 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 2 + 7 + 1 + 5 + 596 + 7 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526427155967329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88873053 + ... + 94611171.

It is an arithmetic number, because the mean of its divisors is an integer number (3399922171800).

Almost surely, 2^{526427155967328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526427155967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979177585478400).

526427155967328 is an abundant number, since it is smaller than the sum of its proper divisors (1431928014989472).

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

526427155967328 is a wasteful number, since it uses less digits than its factorization.

526427155967328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738360 (or 5738339 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 526427155967328 in words is "five hundred twenty-six trillion, four hundred twenty-seven billion, one hundred fifty-five million, nine hundred sixty-seven thousand, three hundred twenty-eight".