90879909120 has 2304 divisors, whose sum is σ = 450969845760. Its totient is φ = 16721510400.

The previous prime is 90879909103. The next prime is 90879909121. The reversal of 90879909120 is 2190997809.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90879909121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1279998685 + ... + 1279998755.

It is an arithmetic number, because the mean of its divisors is an integer number (195733440).

Almost surely, 2^90879909120 is an apocalyptic number.

90879909120 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 90879909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225484922880).

90879909120 is an abundant number, since it is smaller than the sum of its proper divisors (360089936640).

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

90879909120 is a wasteful number, since it uses less digits than its factorization.

90879909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

It can be divided in two parts, 90879 and 909120, that added together give a palindrome (999999).

The spelling of 90879909120 in words is "ninety billion, eight hundred seventy-nine million, nine hundred nine thousand, one hundred twenty".