10047753699840 has 160 divisors (see below), whose sum is σ = 35690458700160. Its totient is φ = 2679400968192.

The previous prime is 10047753699839. The next prime is 10047753699847. The reversal of 10047753699840 is 4899635774001.

10047753699840 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 7 + 536 + 9 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (10047753699847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72614284 + ... + 72752523.

It is an arithmetic number, because the mean of its divisors is an integer number (223065366876).

Almost surely, 2^{10047753699840} is an apocalyptic number.

10047753699840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10047753699840 is an abundant number, since it is smaller than the sum of its proper divisors (25642705000320).

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

10047753699840 is an equidigital number, since it uses as much as digits as its factorization.

10047753699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145366839 (or 145366817 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 10047753699840 in words is "ten trillion, forty-seven billion, seven hundred fifty-three million, six hundred ninety-nine thousand, eight hundred forty".