90105079680 has 1536 divisors, whose sum is σ = 413722183680. Its totient is φ = 17663754240.

The previous prime is 90105079643. The next prime is 90105079693. The reversal of 90105079680 is 8697050109.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1234316124 + ... + 1234316196.

It is an arithmetic number, because the mean of its divisors is an integer number (269350380).

Almost surely, 2^90105079680 is an apocalyptic number.

90105079680 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 90105079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206861091840).

90105079680 is an abundant number, since it is smaller than the sum of its proper divisors (323617104000).

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

90105079680 is a wasteful number, since it uses less digits than its factorization.

90105079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 90105079680 in words is "ninety billion, one hundred five million, seventy-nine thousand, six hundred eighty".