90125262339840 has 1728 divisors, whose sum is σ = 401176700870400. Its totient is φ = 18551215226880.

The previous prime is 90125262339811. The next prime is 90125262339841. The reversal of 90125262339840 is 4893326252109.

90125262339840 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 5 + 2 + 623 + 3 + 9 + 8 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90125262339841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2106053484 + ... + 2106096276.

Almost surely, 2^{90125262339840} is an apocalyptic number.

90125262339840 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 90125262339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200588350435200).

90125262339840 is an abundant number, since it is smaller than the sum of its proper divisors (311051438530560).

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

90125262339840 is a wasteful number, since it uses less digits than its factorization.

90125262339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42895 (or 42864 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 90125262339840 in words is "ninety trillion, one hundred twenty-five billion, two hundred sixty-two million, three hundred thirty-nine thousand, eight hundred forty".