90387271485 has 384 divisors, whose sum is σ = 204440371200. Its totient is φ = 36003502080.

The previous prime is 90387271459. The next prime is 90387271511. The reversal of 90387271485 is 58417278309.

90387271485 = 20301² + 20302² + ... + 20517².

It is a happy number.

90387271485 is a `hidden beast` number, since 90 + 3 + 8 + 7 + 2 + 71 + 485 = 666.

It is an interprime number because it is at equal distance from previous prime (90387271459) and next prime (90387271511).

It is not a de Polignac number, because 90387271485 - 2⁷ = 90387271357 is a prime.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 575715027 + ... + 575715183.

It is an arithmetic number, because the mean of its divisors is an integer number (532396800).

Almost surely, 2^90387271485 is an apocalyptic number.

90387271485 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90387271485 is an abundant number, since it is smaller than the sum of its proper divisors (114053099715).

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

90387271485 is a wasteful number, since it uses less digits than its factorization.

90387271485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 90387271485 in words is "ninety billion, three hundred eighty-seven million, two hundred seventy-one thousand, four hundred eighty-five".