10260098634240 has 1280 divisors, whose sum is σ = 44982720921600. Its totient is φ = 2158608973824.

The previous prime is 10260098634223. The next prime is 10260098634251. The reversal of 10260098634240 is 4243689006201.

10260098634240 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 0 + 9 + 8 + 634 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2409037231 + ... + 2409041489.

It is an arithmetic number, because the mean of its divisors is an integer number (35142750720).

Almost surely, 2^{10260098634240} is an apocalyptic number.

10260098634240 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 10260098634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491360460800).

10260098634240 is an abundant number, since it is smaller than the sum of its proper divisors (34722622287360).

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

10260098634240 is a wasteful number, since it uses less digits than its factorization.

10260098634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10260098634240 in words is "ten trillion, two hundred sixty billion, ninety-eight million, six hundred thirty-four thousand, two hundred forty".