10049888352 has 96 divisors (see below), whose sum is σ = 30349638144. Its totient is φ = 2852352000.

The previous prime is 10049888347. The next prime is 10049888353. The reversal of 10049888352 is 25388894001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10049888353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51952 + ... + 150992.

It is an arithmetic number, because the mean of its divisors is an integer number (316142064).

Almost surely, 2^10049888352 is an apocalyptic number.

10049888352 is a gapful number since it is divisible by the number (12) 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 10049888352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174819072).

10049888352 is an abundant number, since it is smaller than the sum of its proper divisors (20299749792).

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

10049888352 is a wasteful number, since it uses less digits than its factorization.

10049888352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99212 (or 99204 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 10049888352 in words is "ten billion, forty-nine million, eight hundred eighty-eight thousand, three hundred fifty-two".