90279410112 has 448 divisors, whose sum is σ = 300479155200. Its totient is φ = 26422640640.

The previous prime is 90279410099. The next prime is 90279410113. The reversal of 90279410112 is 21101497209.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90279410113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27699939 + ... + 27703197.

It is an arithmetic number, because the mean of its divisors is an integer number (670712400).

Almost surely, 2^90279410112 is an apocalyptic number.

90279410112 is a gapful number since it is divisible by the number (92) 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 90279410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150239577600).

90279410112 is an abundant number, since it is smaller than the sum of its proper divisors (210199745088).

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

90279410112 is a wasteful number, since it uses less digits than its factorization.

90279410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 90279410112 in words is "ninety billion, two hundred seventy-nine million, four hundred ten thousand, one hundred twelve".