90258062400 has 1008 divisors, whose sum is σ = 373991063040. Its totient is φ = 21136896000.

The previous prime is 90258062399. The next prime is 90258062467. The reversal of 90258062400 is 426085209.

It is a happy number.

90258062400 is a `hidden beast` number, since 9 + 0 + 25 + 8 + 0 + 624 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162042922 + ... + 162043478.

It is an arithmetic number, because the mean of its divisors is an integer number (371022880).

Almost surely, 2^90258062400 is an apocalyptic number.

90258062400 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 90258062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186995531520).

90258062400 is an abundant number, since it is smaller than the sum of its proper divisors (283733000640).

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

90258062400 is a wasteful number, since it uses less digits than its factorization.

90258062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 609 counting only the distinct ones).

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

The spelling of 90258062400 in words is "ninety billion, two hundred fifty-eight million, sixty-two thousand, four hundred".