10292209920 has 360 divisors, whose sum is σ = 37542299256. Its totient is φ = 2691366912.

The previous prime is 10292209903. The next prime is 10292209927. The reversal of 10292209920 is 2990229201.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 10131630336 = 12672^2 + 100656^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10292209927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5494104 + ... + 5495976.

Almost surely, 2^10292209920 is an apocalyptic number.

10292209920 is a gapful number since it is divisible by the number (10) 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 10292209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18771149628).

10292209920 is an abundant number, since it is smaller than the sum of its proper divisors (27250089336).

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

10292209920 is an equidigital number, since it uses as much as digits as its factorization.

10292209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10292209920 in words is "ten billion, two hundred ninety-two million, two hundred nine thousand, nine hundred twenty".