825695807400 has 240 divisors, whose sum is σ = 2887019041500. Its totient is φ = 218707153920.

The previous prime is 825695807303. The next prime is 825695807401. The reversal of 825695807400 is 4708596528.

825695807400 is a `hidden beast` number, since 8 + 2 + 56 + 9 + 580 + 7 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 119178229284 + 706517578116 = 345222^2 + 840546^2 .

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

It is not an unprimeable number, because it can be changed into a prime (825695807401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2242764 + ... + 2584836.

Almost surely, 2^825695807400 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 825695807400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443509520750).

825695807400 is an abundant number, since it is smaller than the sum of its proper divisors (2061323234100).

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

825695807400 is a wasteful number, since it uses less digits than its factorization.

825695807400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342250 (or 342232 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 825695807400 in words is "eight hundred twenty-five billion, six hundred ninety-five million, eight hundred seven thousand, four hundred".