10230274080 has 480 divisors, whose sum is σ = 39856825008. Its totient is φ = 2455142400.

The previous prime is 10230274079. The next prime is 10230274081. The reversal of 10230274080 is 8047203201.

10230274080 is a `hidden beast` number, since 1 + 0 + 230 + 27 + 408 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10230274079) and next prime (10230274081).

It can be written as a sum of positive squares in 8 ways, for example, as 407878416 + 9822395664 = 20196^2 + 99108^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10230274081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6906940 + ... + 6908420.

Almost surely, 2^10230274080 is an apocalyptic number.

10230274080 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 10230274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928412504).

10230274080 is an abundant number, since it is smaller than the sum of its proper divisors (29626550928).

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

10230274080 is a wasteful number, since it uses less digits than its factorization.

10230274080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10230274080 its reverse (8047203201), we get a palindrome (18277477281).

The spelling of 10230274080 in words is "ten billion, two hundred thirty million, two hundred seventy-four thousand, eighty".