825375222160632 has 512 divisors, whose sum is σ = 2787875745177600. Its totient is φ = 222827538124800.

The previous prime is 825375222160583. The next prime is 825375222160639. The reversal of 825375222160632 is 236061222573528.

825375222160632 is a `hidden beast` number, since 8 + 2 + 5 + 3 + 7 + 5 + 2 + 2 + 21 + 606 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825375222160639) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356002468 + ... + 358313420.

It is an arithmetic number, because the mean of its divisors is an integer number (5445069814800).

Almost surely, 2^{825375222160632} 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 825375222160632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393937872588800).

825375222160632 is an abundant number, since it is smaller than the sum of its proper divisors (1962500523016968).

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

825375222160632 is a wasteful number, since it uses less digits than its factorization.

825375222160632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311396 (or 2311386 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 825375222160632 in words is "eight hundred twenty-five trillion, three hundred seventy-five billion, two hundred twenty-two million, one hundred sixty thousand, six hundred thirty-two".