825118053477120 has 720 divisors, whose sum is σ = 3346876702239840. Its totient is φ = 192416187875328.

The previous prime is 825118053477103. The next prime is 825118053477169. The reversal of 825118053477120 is 21774350811528.

825118053477120 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 1 + 80 + 534 + 7 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9499012 + ... + 41718908.

It is an arithmetic number, because the mean of its divisors is an integer number (4648439864222).

Almost surely, 2^{825118053477120} is an apocalyptic number.

825118053477120 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 825118053477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673438351119920).

825118053477120 is an abundant number, since it is smaller than the sum of its proper divisors (2521758648762720).

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

825118053477120 is a wasteful number, since it uses less digits than its factorization.

825118053477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32219962 (or 32219939 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 825118053477120 in words is "eight hundred twenty-five trillion, one hundred eighteen billion, fifty-three million, four hundred seventy-seven thousand, one hundred twenty".