825190934400000 has 5280 divisors, whose sum is σ = 3851781694193664. Its totient is φ = 171594547200000.

The previous prime is 825190934399959. The next prime is 825190934400067. The reversal of 825190934400000 is 4439091528.

825190934400000 is a `hidden beast` number, since 8 + 2 + 519 + 0 + 93 + 4 + 40 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 956188799569 + ... + 956188800431.

Almost surely, 2^{825190934400000} is an apocalyptic number.

825190934400000 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 825190934400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925890847096832).

825190934400000 is an abundant number, since it is smaller than the sum of its proper divisors (3026590759793664).

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

825190934400000 is an equidigital number, since it uses as much as digits as its factorization.

825190934400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 825190934400000 in words is "eight hundred twenty-five trillion, one hundred ninety billion, nine hundred thirty-four million, four hundred thousand".