90625635000 has 840 divisors, whose sum is σ = 339882515280. Its totient is φ = 22624272000.

The previous prime is 90625634989. The next prime is 90625635007. The reversal of 90625635000 is 53652609.

90625635000 is a `hidden beast` number, since 90 + 6 + 2 + 5 + 63 + 500 + 0 = 666.

It is a super-4 number, since 4×90625635000⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90625635007) 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 209 ways as a sum of consecutive naturals, for example, 1928204977 + ... + 1928205023.

It is an arithmetic number, because the mean of its divisors is an integer number (404622042).

Almost surely, 2^90625635000 is an apocalyptic number.

90625635000 is a gapful number since it is divisible by the number (90) 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 90625635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169941257640).

90625635000 is an abundant number, since it is smaller than the sum of its proper divisors (249256880280).

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

90625635000 is an equidigital number, since it uses as much as digits as its factorization.

90625635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 90625635000 in words is "ninety billion, six hundred twenty-five million, six hundred thirty-five thousand".