10261059618240 has 224 divisors, whose sum is σ = 37772597007360. Its totient is φ = 2617313707008.

The previous prime is 10261059618193. The next prime is 10261059618289. The reversal of 10261059618240 is 4281695016201.

10261059618240 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 1 + 0 + 5 + 9 + 618 + 24 + 0 = 666.

It is a super-2 number, since 2×10261059618240² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 25619164 + ... + 26016603.

Almost surely, 2^{10261059618240} is an apocalyptic number.

10261059618240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10261059618240 is an abundant number, since it is smaller than the sum of its proper divisors (27511537389120).

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

10261059618240 is a wasteful number, since it uses less digits than its factorization.

10261059618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51635816 (or 51635800 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10261059618240 in words is "ten trillion, two hundred sixty-one billion, fifty-nine million, six hundred eighteen thousand, two hundred forty".