10254079980 has 288 divisors, whose sum is σ = 34159507200. Its totient is φ = 2574851328.

The previous prime is 10254079967. The next prime is 10254079981. The reversal of 10254079980 is 8997045201.

10254079980 is a `hidden beast` number, since 10 + 2 + 540 + 7 + 9 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10254079981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27055431 + ... + 27055809.

It is an arithmetic number, because the mean of its divisors is an integer number (118609400).

Almost surely, 2^10254079980 is an apocalyptic number.

10254079980 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 10254079980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079753600).

10254079980 is an abundant number, since it is smaller than the sum of its proper divisors (23905427220).

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

10254079980 is a wasteful number, since it uses less digits than its factorization.

10254079980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10254079980 in words is "ten billion, two hundred fifty-four million, seventy-nine thousand, nine hundred eighty".