90476290000000 has 512 divisors, whose sum is σ = 244831248230400. Its totient is φ = 33177600000000.

The previous prime is 90476289999983. The next prime is 90476290000007. The reversal of 90476290000000 is 9267409.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90476290000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5889992320 + ... + 5890007680.

It is an arithmetic number, because the mean of its divisors is an integer number (478186031700).

Almost surely, 2^{90476290000000} 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 90476290000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122415624115200).

90476290000000 is an abundant number, since it is smaller than the sum of its proper divisors (154354958230400).

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

90476290000000 is an frugal number, since it uses more digits than its factorization.

90476290000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15460 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

Adding to 90476290000000 its reverse (9267409), we get a palindrome (90476299267409).

The spelling of 90476290000000 in words is "ninety trillion, four hundred seventy-six billion, two hundred ninety million", and thus it is an aban number.