425826145080 has 384 divisors, whose sum is σ = 1596746736000. Its totient is φ = 96406142976.

The previous prime is 425826145061. The next prime is 425826145081. The reversal of 425826145080 is 80541628524.

425826145080 is a `hidden beast` number, since 4 + 2 + 5 + 82 + 61 + 4 + 508 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425826145081) 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 95 ways as a sum of consecutive naturals, for example, 139659396 + ... + 139662444.

It is an arithmetic number, because the mean of its divisors is an integer number (4158194625).

Almost surely, 2^425826145080 is an apocalyptic number.

425826145080 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 425826145080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798373368000).

425826145080 is an abundant number, since it is smaller than the sum of its proper divisors (1170920590920).

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

425826145080 is a wasteful number, since it uses less digits than its factorization.

425826145080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 425826145080 in words is "four hundred twenty-five billion, eight hundred twenty-six million, one hundred forty-five thousand, eighty".