90329017600 has 216 divisors, whose sum is σ = 230489718200. Its totient is φ = 35022274560.

The previous prime is 90329017511. The next prime is 90329017621. The reversal of 90329017600 is 671092309.

It can be written as a sum of positive squares in 12 ways, for example, as 1934592256 + 88394425344 = 43984^2 + 297312^2 .

It is a super-2 number, since 2×90329017600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 90329017600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82642654 + ... + 82643746.

Almost surely, 2^90329017600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90329017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115244859100).

90329017600 is an abundant number, since it is smaller than the sum of its proper divisors (140160700600).

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

90329017600 is a wasteful number, since it uses less digits than its factorization.

90329017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The spelling of 90329017600 in words is "ninety billion, three hundred twenty-nine million, seventeen thousand, six hundred".