90035177993712 has 480 divisors, whose sum is σ = 301016570849280. Its totient is φ = 24578675251200.

The previous prime is 90035177993711. The next prime is 90035177993729. The reversal of 90035177993712 is 21739977153009.

90035177993712 is a `hidden beast` number, since 9 + 0 + 0 + 3 + 5 + 177 + 99 + 371 + 2 = 666.

90035177993712 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 90035177993712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90035177993711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1160851638 + ... + 1160929194.

It is an arithmetic number, because the mean of its divisors is an integer number (627117855936).

Almost surely, 2^{90035177993712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90035177993712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150508285424640).

90035177993712 is an abundant number, since it is smaller than the sum of its proper divisors (210981392855568).

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

90035177993712 is a wasteful number, since it uses less digits than its factorization.

90035177993712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78021 (or 78012 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 63.

The spelling of 90035177993712 in words is "ninety trillion, thirty-five billion, one hundred seventy-seven million, nine hundred ninety-three thousand, seven hundred twelve".