90109510400 has 972 divisors, whose sum is σ = 301263124176. Its totient is φ = 26398310400.

The previous prime is 90109510357. The next prime is 90109510411. The reversal of 90109510400 is 401590109.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2906758385 + ... + 2906758415.

Almost surely, 2^90109510400 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 90109510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150631562088).

90109510400 is an abundant number, since it is smaller than the sum of its proper divisors (211153613776).

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

90109510400 is a wasteful number, since it uses less digits than its factorization.

90109510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The spelling of 90109510400 in words is "ninety billion, one hundred nine million, five hundred ten thousand, four hundred".