90587139552 has 576 divisors, whose sum is σ = 335022944256. Its totient is φ = 22574039040.

The previous prime is 90587139547. The next prime is 90587139557. The reversal of 90587139552 is 25593178509.

90587139552 is a `hidden beast` number, since 9 + 0 + 5 + 87 + 1 + 3 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (90587139547) and next prime (90587139557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90587139557) by changing a digit.

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, 34933968 + ... + 34936560.

It is an arithmetic number, because the mean of its divisors is an integer number (581637056).

Almost surely, 2^90587139552 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 90587139552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167511472128).

90587139552 is an abundant number, since it is smaller than the sum of its proper divisors (244435804704).

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

90587139552 is a wasteful number, since it uses less digits than its factorization.

90587139552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 90587139552 in words is "ninety billion, five hundred eighty-seven million, one hundred thirty-nine thousand, five hundred fifty-two".