90625824000 has 288 divisors, whose sum is σ = 334462826880. Its totient is φ = 24166656000.

The previous prime is 90625823999. The next prime is 90625824019. The reversal of 90625824000 is 42852609.

It is a happy number.

90625824000 is a `hidden beast` number, since 9 + 0 + 625 + 8 + 24 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811555 + ... + 916445.

It is an arithmetic number, because the mean of its divisors is an integer number (1161329260).

Almost surely, 2^90625824000 is an apocalyptic number.

90625824000 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 90625824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167231413440).

90625824000 is an abundant number, since it is smaller than the sum of its proper divisors (243837002880).

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

90625824000 is a wasteful number, since it uses less digits than its factorization.

90625824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104931 (or 104901 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 90625824000 in words is "ninety billion, six hundred twenty-five million, eight hundred twenty-four thousand".