90987541008 has 480 divisors, whose sum is σ = 309300203520. Its totient is φ = 22814991360.

The previous prime is 90987540967. The next prime is 90987541087. The reversal of 90987541008 is 80014578909.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55922691 + ... + 55924317.

It is an arithmetic number, because the mean of its divisors is an integer number (644375424).

Almost surely, 2^90987541008 is an apocalyptic number.

90987541008 is a gapful number since it is divisible by the number (98) 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 90987541008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154650101760).

90987541008 is an abundant number, since it is smaller than the sum of its proper divisors (218312662512).

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

90987541008 is a wasteful number, since it uses less digits than its factorization.

90987541008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 90987541008 in words is "ninety billion, nine hundred eighty-seven million, five hundred forty-one thousand, eight".