90873328896 has 576 divisors, whose sum is σ = 331304601600. Its totient is φ = 23987404800.

The previous prime is 90873328853. The next prime is 90873328913. The reversal of 90873328896 is 69882337809.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37689931 + ... + 37692341.

It is an arithmetic number, because the mean of its divisors is an integer number (575181600).

Almost surely, 2^90873328896 is an apocalyptic number.

90873328896 is a gapful number since it is divisible by the number (96) 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 90873328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165652300800).

90873328896 is an abundant number, since it is smaller than the sum of its proper divisors (240431272704).

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

90873328896 is a wasteful number, since it uses less digits than its factorization.

90873328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 90873328896 in words is "ninety billion, eight hundred seventy-three million, three hundred twenty-eight thousand, eight hundred ninety-six".