825040378728 has 256 divisors, whose sum is σ = 2541282336000. Its totient is φ = 249908198400.

The previous prime is 825040378703. The next prime is 825040378801. The reversal of 825040378728 is 827873040528.

825040378728 is a `hidden beast` number, since 8 + 2 + 504 + 0 + 37 + 87 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8577703 + ... + 8673353.

It is an arithmetic number, because the mean of its divisors is an integer number (9926884125).

Almost surely, 2^825040378728 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 825040378728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270641168000).

825040378728 is an abundant number, since it is smaller than the sum of its proper divisors (1716241957272).

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

825040378728 is a wasteful number, since it uses less digits than its factorization.

825040378728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95724 (or 95702 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 825040378728 in words is "eight hundred twenty-five billion, forty million, three hundred seventy-eight thousand, seven hundred twenty-eight".