90534363619392 has 1680 divisors, whose sum is σ = 361309159706880. Its totient is φ = 21884187156480.

The previous prime is 90534363619361. The next prime is 90534363619411. The reversal of 90534363619392 is 29391636343509.

It is a happy number.

90534363619392 is a `hidden beast` number, since 9 + 0 + 5 + 3 + 4 + 3 + 6 + 3 + 619 + 3 + 9 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3736599534 + ... + 3736623762.

It is an arithmetic number, because the mean of its divisors is an integer number (215064976016).

Almost surely, 2^{90534363619392} is an apocalyptic number.

90534363619392 is a gapful number since it is divisible by the number (92) 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 90534363619392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180654579853440).

90534363619392 is an abundant number, since it is smaller than the sum of its proper divisors (270774796087488).

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

90534363619392 is a wasteful number, since it uses less digits than its factorization.

90534363619392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24342 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 63.

The spelling of 90534363619392 in words is "ninety trillion, five hundred thirty-four billion, three hundred sixty-three million, six hundred nineteen thousand, three hundred ninety-two".