10242751031280 has 720 divisors, whose sum is σ = 36351547727040. Its totient is φ = 2584324030464.

The previous prime is 10242751031269. The next prime is 10242751031323. The reversal of 10242751031280 is 8213015724201.

10242751031280 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 275 + 103 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23655313944 + ... + 23655314376.

It is an arithmetic number, because the mean of its divisors is an integer number (50488260732).

Almost surely, 2^{10242751031280} is an apocalyptic number.

10242751031280 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 10242751031280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175773863520).

10242751031280 is an abundant number, since it is smaller than the sum of its proper divisors (26108796695760).

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

10242751031280 is a wasteful number, since it uses less digits than its factorization.

10242751031280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 10242751031280 its reverse (8213015724201), we get a palindrome (18455766755481).

The spelling of 10242751031280 in words is "ten trillion, two hundred forty-two billion, seven hundred fifty-one million, thirty-one thousand, two hundred eighty".