90127956240 has 240 divisors, whose sum is σ = 357848524800. Its totient is φ = 19890275328.

The previous prime is 90127956223. The next prime is 90127956241. The reversal of 90127956240 is 4265972109.

90127956240 is a `hidden beast` number, since 9 + 0 + 12 + 7 + 9 + 5 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90127956241) 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 47 ways as a sum of consecutive naturals, for example, 162160 + ... + 454479.

It is an arithmetic number, because the mean of its divisors is an integer number (1491035520).

Almost surely, 2^90127956240 is an apocalyptic number.

90127956240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90127956240 is an abundant number, since it is smaller than the sum of its proper divisors (267720568560).

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

90127956240 is a wasteful number, since it uses less digits than its factorization.

90127956240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616694 (or 616685 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 90127956240 in words is "ninety billion, one hundred twenty-seven million, nine hundred fifty-six thousand, two hundred forty".