90656422871040 has 1920 divisors, whose sum is σ = 369841768611840. Its totient is φ = 20871276134400.

The previous prime is 90656422870969. The next prime is 90656422871059. The reversal of 90656422871040 is 4017822465609.

90656422871040 is a `hidden beast` number, since 9 + 0 + 6 + 564 + 2 + 2 + 8 + 71 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 93363977755 + ... + 93363978725.

It is an arithmetic number, because the mean of its divisors is an integer number (192625921152).

Almost surely, 2^{90656422871040} is an apocalyptic number.

90656422871040 is a gapful number since it is divisible by the number (90) 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 90656422871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184920884305920).

90656422871040 is an abundant number, since it is smaller than the sum of its proper divisors (279185345740800).

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

90656422871040 is a wasteful number, since it uses less digits than its factorization.

90656422871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 90656422871040 in words is "ninety trillion, six hundred fifty-six billion, four hundred twenty-two million, eight hundred seventy-one thousand, forty".