425878560000 has 900 divisors, whose sum is σ = 1681071862932. Its totient is φ = 106831872000.

The previous prime is 425878559963. The next prime is 425878560031. The reversal of 425878560000 is 65878524.

425878560000 is a `hidden beast` number, since 4 + 2 + 5 + 87 + 8 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 231461058816 + 194417501184 = 481104^2 + 440928^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 220319034 + ... + 220320966.

Almost surely, 2^425878560000 is an apocalyptic number.

425878560000 is a gapful number since it is divisible by the number (40) 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 425878560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840535931466).

425878560000 is an abundant number, since it is smaller than the sum of its proper divisors (1255193302932).

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

425878560000 is an equidigital number, since it uses as much as digits as its factorization.

425878560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 425878560000 in words is "four hundred twenty-five billion, eight hundred seventy-eight million, five hundred sixty thousand".