10261023948 has 864 divisors, whose sum is σ = 37645171200. Its totient is φ = 2414168064.

The previous prime is 10261023907. The next prime is 10261023959. The reversal of 10261023948 is 84932016201.

10261023948 is a `hidden beast` number, since 1 + 0 + 2 + 610 + 2 + 39 + 4 + 8 = 666.

10261023948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10261023948² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 353828398 + ... + 353828426.

It is an arithmetic number, because the mean of its divisors is an integer number (43570800).

Almost surely, 2^10261023948 is an apocalyptic number.

10261023948 is a gapful number since it is divisible by the number (18) 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 10261023948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822585600).

10261023948 is an abundant number, since it is smaller than the sum of its proper divisors (27384147252).

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

10261023948 is a wasteful number, since it uses less digits than its factorization.

10261023948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10261023948 in words is "ten billion, two hundred sixty-one million, twenty-three thousand, nine hundred forty-eight".