90819020884932 has 144 divisors (see below), whose sum is σ = 244013785666560. Its totient is φ = 28399537324224.

The previous prime is 90819020884871. The next prime is 90819020884939. The reversal of 90819020884932 is 23948802091809.

It is a happy number.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90819020884932.

It is not an unprimeable number, because it can be changed into a prime (90819020884939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696668753 + ... + 1696722279.

It is an arithmetic number, because the mean of its divisors is an integer number (1694540178240).

Almost surely, 2^{90819020884932} 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 90819020884932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122006892833280).

90819020884932 is an abundant number, since it is smaller than the sum of its proper divisors (153194764781628).

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

90819020884932 is a wasteful number, since it uses less digits than its factorization.

90819020884932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77742 (or 77737 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 90819020884932 in words is "ninety trillion, eight hundred nineteen billion, twenty million, eight hundred eighty-four thousand, nine hundred thirty-two".