38525967891792 has 240 divisors, whose sum is σ = 113226815520000. Its totient is φ = 12679955177472.

The previous prime is 38525967891779. The next prime is 38525967891809. The reversal of 38525967891792 is 29719876952583.

38525967891792 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 596 + 7 + 8 + 9 + 17 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248719584 + ... + 248874432.

It is an arithmetic number, because the mean of its divisors is an integer number (471778398000).

Almost surely, 2^{38525967891792} 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 38525967891792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56613407760000).

38525967891792 is an abundant number, since it is smaller than the sum of its proper divisors (74700847628208).

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

38525967891792 is a wasteful number, since it uses less digits than its factorization.

38525967891792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155680 (or 155662 counting only the distinct ones).

The product of its digits is 4115059200, while the sum is 81.

The spelling of 38525967891792 in words is "thirty-eight trillion, five hundred twenty-five billion, nine hundred sixty-seven million, eight hundred ninety-one thousand, seven hundred ninety-two".