10049935403952 has 120 divisors (see below), whose sum is σ = 30173337689040. Its totient is φ = 3234461932800.

The previous prime is 10049935403917. The next prime is 10049935403953. The reversal of 10049935403952 is 25930453994001.

10049935403952 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 9 + 3 + 540 + 3 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10049935403953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44453799 + ... + 44679302.

It is an arithmetic number, because the mean of its divisors is an integer number (251444480742).

Almost surely, 2^{10049935403952} is an apocalyptic number.

10049935403952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10049935403952 is an abundant number, since it is smaller than the sum of its proper divisors (20123402285088).

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

10049935403952 is an equidigital number, since it uses as much as digits as its factorization.

10049935403952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89133153 (or 89133135 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 10049935403952 in words is "ten trillion, forty-nine billion, nine hundred thirty-five million, four hundred three thousand, nine hundred fifty-two".