425168686000 has 80 divisors (see below), whose sum is σ = 1028908520640. Its totient is φ = 169926758400.

The previous prime is 425168685971. The next prime is 425168686009. The reversal of 425168686000 is 686861524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×425168686000³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (425168686009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346661 + ... + 2521339.

It is an arithmetic number, because the mean of its divisors is an integer number (12861356508).

Almost surely, 2^425168686000 is an apocalyptic number.

425168686000 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 425168686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514454260320).

425168686000 is an abundant number, since it is smaller than the sum of its proper divisors (603739834640).

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

425168686000 is a wasteful number, since it uses less digits than its factorization.

425168686000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175919 (or 175903 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 425168686000 in words is "four hundred twenty-five billion, one hundred sixty-eight million, six hundred eighty-six thousand".