525943784016 has 480 divisors, whose sum is σ = 1878509767680. Its totient is φ = 139025922048.

The previous prime is 525943783951. The next prime is 525943784021. The reversal of 525943784016 is 610487349525.

It is a happy number.

525943784016 is a `hidden beast` number, since 5 + 2 + 594 + 3 + 7 + 8 + 40 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27288015 + ... + 27307281.

It is an arithmetic number, because the mean of its divisors is an integer number (3913562016).

It is a 1-persistent number, because it is pandigital, but 2⋅525943784016 = 1051887568032 is not.

Almost surely, 2^525943784016 is an apocalyptic number.

525943784016 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 525943784016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939254883840).

525943784016 is an abundant number, since it is smaller than the sum of its proper divisors (1352565983664).

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

525943784016 is a wasteful number, since it uses less digits than its factorization.

525943784016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19373 (or 19355 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 525943784016 in words is "five hundred twenty-five billion, nine hundred forty-three million, seven hundred eighty-four thousand, sixteen".