920008820952 has 160 divisors (see below), whose sum is σ = 2791719453600. Its totient is φ = 281384119296.

The previous prime is 920008820933. The next prime is 920008820981. The reversal of 920008820952 is 259028800029.

It is a junction number, because it is equal to n+sod(n) for n = 920008820898 and 920008820907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1079824 + ... + 1733792.

It is an arithmetic number, because the mean of its divisors is an integer number (17448246585).

Almost surely, 2^920008820952 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 920008820952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395859726800).

920008820952 is an abundant number, since it is smaller than the sum of its proper divisors (1871710632648).

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

920008820952 is a wasteful number, since it uses less digits than its factorization.

920008820952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654167 (or 654154 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 920008820952 in words is "nine hundred twenty billion, eight million, eight hundred twenty thousand, nine hundred fifty-two".