10292261672 has 128 divisors (see below), whose sum is σ = 24588748800. Its totient is φ = 3922732800.

The previous prime is 10292261663. The next prime is 10292261687. The reversal of 10292261672 is 27616229201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6078458 + ... + 6080150.

It is an arithmetic number, because the mean of its divisors is an integer number (192099600).

Almost surely, 2^10292261672 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 10292261672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294374400).

10292261672 is an abundant number, since it is smaller than the sum of its proper divisors (14296487128).

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

10292261672 is a wasteful number, since it uses less digits than its factorization.

10292261672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 10292261672 in words is "ten billion, two hundred ninety-two million, two hundred sixty-one thousand, six hundred seventy-two".