90212612864040 has 192 divisors, whose sum is σ = 310556562872400. Its totient is φ = 22632914681856.

The previous prime is 90212612863963. The next prime is 90212612864041. The reversal of 90212612864040 is 4046821621209.

It is a happy number.

90212612864040 is a `hidden beast` number, since 9 + 0 + 21 + 2 + 612 + 8 + 6 + 4 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33031158431076 + 57181454432964 = 5747274^2 + 7561842^2 .

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 (90212612864041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13142124 + ... + 18792036.

Almost surely, 2^{90212612864040} is an apocalyptic number.

90212612864040 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 90212612864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155278281436200).

90212612864040 is an abundant number, since it is smaller than the sum of its proper divisors (220343950008360).

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

90212612864040 is a wasteful number, since it uses less digits than its factorization.

90212612864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652556 (or 5652549 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 90212612864040 in words is "ninety trillion, two hundred twelve billion, six hundred twelve million, eight hundred sixty-four thousand, forty".