90488613600 has 864 divisors, whose sum is σ = 406061510400. Its totient is φ = 18797184000.

The previous prime is 90488613569. The next prime is 90488613653. The reversal of 90488613600 is 631688409.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 27163935 + ... + 27167265.

It is an arithmetic number, because the mean of its divisors is an integer number (469978600).

Almost surely, 2^90488613600 is an apocalyptic number.

90488613600 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 90488613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203030755200).

90488613600 is an abundant number, since it is smaller than the sum of its proper divisors (315572896800).

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

90488613600 is a wasteful number, since it uses less digits than its factorization.

90488613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 90488613600 in words is "ninety billion, four hundred eighty-eight million, six hundred thirteen thousand, six hundred".