4685325826800 has 240 divisors, whose sum is σ = 15511646333952. Its totient is φ = 1207646361600.

The previous prime is 4685325826799. The next prime is 4685325826847. The reversal of 4685325826800 is 86285235864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30688252 + ... + 30840548.

Almost surely, 2^{4685325826800} is an apocalyptic number.

4685325826800 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 4685325826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755823166976).

4685325826800 is an abundant number, since it is smaller than the sum of its proper divisors (10826320507152).

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

4685325826800 is a wasteful number, since it uses less digits than its factorization.

4685325826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153176 (or 153165 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 4685325826800 in words is "four trillion, six hundred eighty-five billion, three hundred twenty-five million, eight hundred twenty-six thousand, eight hundred".