825240487478400 has 4608 divisors, whose sum is σ = 3703073345280000. Its totient is φ = 180968546304000.

The previous prime is 825240487478347. The next prime is 825240487478417. The reversal of 825240487478400 is 4874784042528.

825240487478400 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 40 + 4 + 87 + 478 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1583954870140 + ... + 1583954870660.

It is an arithmetic number, because the mean of its divisors is an integer number (803618347500).

Almost surely, 2^{825240487478400} is an apocalyptic number.

825240487478400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825240487478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851536672640000).

825240487478400 is an abundant number, since it is smaller than the sum of its proper divisors (2877832857801600).

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

825240487478400 is a wasteful number, since it uses less digits than its factorization.

825240487478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 128450560, while the sum is 63.

The spelling of 825240487478400 in words is "eight hundred twenty-five trillion, two hundred forty billion, four hundred eighty-seven million, four hundred seventy-eight thousand, four hundred".