525283753785840 has 800 divisors, whose sum is σ = 2123596825675776. Its totient is φ = 117858744299520.

The previous prime is 525283753785839. The next prime is 525283753785853. The reversal of 525283753785840 is 48587357382525.

525283753785840 is a `hidden beast` number, since 5 + 2 + 5 + 2 + 8 + 3 + 7 + 5 + 37 + 8 + 584 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a Sastry number since concatenated with its successor gives a square.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 698304169 + ... + 699055991.

Almost surely, 2^{525283753785840} 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 525283753785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061798412837888).

525283753785840 is an abundant number, since it is smaller than the sum of its proper divisors (1598313071889936).

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

525283753785840 is a wasteful number, since it uses less digits than its factorization.

525283753785840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752139 (or 752124 counting only the distinct ones).

The product of its (nonzero) digits is 2257920000, while the sum is 72.

The spelling of 525283753785840 in words is "five hundred twenty-five trillion, two hundred eighty-three billion, seven hundred fifty-three million, seven hundred eighty-five thousand, eight hundred forty".