90361855584 has 1728 divisors, whose sum is σ = 386754600960. Its totient is φ = 20088207360.

The previous prime is 90361855583. The next prime is 90361855589. The reversal of 90361855584 is 48555816309.

90361855584 is a `hidden beast` number, since 9 + 0 + 3 + 6 + 1 + 8 + 55 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90361855584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90361855583) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1922592649 + ... + 1922592695.

It is an arithmetic number, because the mean of its divisors is an integer number (223816320).

Almost surely, 2^90361855584 is an apocalyptic number.

90361855584 is a gapful number since it is divisible by the number (94) 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 90361855584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193377300480).

90361855584 is an abundant number, since it is smaller than the sum of its proper divisors (296392745376).

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

90361855584 is a wasteful number, since it uses less digits than its factorization.

90361855584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 90361855584 in words is "ninety billion, three hundred sixty-one million, eight hundred fifty-five thousand, five hundred eighty-four".