10266784600 has 192 divisors, whose sum is σ = 25378375680. Its totient is φ = 3857280000.

The previous prime is 10266784589. The next prime is 10266784603. The reversal of 10266784600 is 648766201.

It is a super-4 number, since 4×10266784600⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10266784603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36536460 + ... + 36536740.

It is an arithmetic number, because the mean of its divisors is an integer number (132179040).

Almost surely, 2^10266784600 is an apocalyptic number.

10266784600 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 10266784600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689187840).

10266784600 is an abundant number, since it is smaller than the sum of its proper divisors (15111591080).

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

10266784600 is a wasteful number, since it uses less digits than its factorization.

10266784600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 10266784600 in words is "ten billion, two hundred sixty-six million, seven hundred eighty-four thousand, six hundred".