920088990001000 has 128 divisors (see below), whose sum is σ = 2156805513308160. Its totient is φ = 367386585216000.

The previous prime is 920088990000881. The next prime is 920088990001007. The reversal of 920088990001000 is 100099880029.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (920088990001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8756778465 + ... + 8756883535.

It is an arithmetic number, because the mean of its divisors is an integer number (16850043072720).

Almost surely, 2^{920088990001000} 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 920088990001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078402756654080).

920088990001000 is an abundant number, since it is smaller than the sum of its proper divisors (1236716523307160).

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

920088990001000 is a wasteful number, since it uses less digits than its factorization.

920088990001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120452 (or 120438 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The spelling of 920088990001000 in words is "nine hundred twenty trillion, eighty-eight billion, nine hundred ninety million, one thousand".