90493127040 has 512 divisors, whose sum is σ = 329422464000. Its totient is φ = 20985937920.

The previous prime is 90493127017. The next prime is 90493127041. The reversal of 90493127040 is 4072139409.

It is a self number, because there is not a number n which added to its sum of digits gives 90493127040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90493127041) 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, 25424781 + ... + 25428339.

It is an arithmetic number, because the mean of its divisors is an integer number (643403250).

Almost surely, 2^90493127040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90493127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164711232000).

90493127040 is an abundant number, since it is smaller than the sum of its proper divisors (238929336960).

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

90493127040 is a wasteful number, since it uses less digits than its factorization.

90493127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 90493127040 in words is "ninety billion, four hundred ninety-three million, one hundred twenty-seven thousand, forty".