10266868500 has 384 divisors, whose sum is σ = 36682813440. Its totient is φ = 2179008000.

The previous prime is 10266868499. The next prime is 10266868511. The reversal of 10266868500 is 586866201.

It is a super-4 number, since 4×10266868500⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10573015 + ... + 10573985.

It is an arithmetic number, because the mean of its divisors is an integer number (95528160).

Almost surely, 2^10266868500 is an apocalyptic number.

10266868500 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 10266868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341406720).

10266868500 is an abundant number, since it is smaller than the sum of its proper divisors (26415944940).

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

10266868500 is a wasteful number, since it uses less digits than its factorization.

10266868500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10266868500 in words is "ten billion, two hundred sixty-six million, eight hundred sixty-eight thousand, five hundred".