10061949600 has 432 divisors, whose sum is σ = 37364483520. Its totient is φ = 2645395200.

The previous prime is 10061949559. The next prime is 10061949619. The reversal of 10061949600 is 694916001.

10061949600 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 9 + 49 + 600 = 666.

10061949600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 141717565 + ... + 141717635.

It is an arithmetic number, because the mean of its divisors is an integer number (86491860).

Almost surely, 2^10061949600 is an apocalyptic number.

10061949600 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 10061949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18682241760).

10061949600 is an abundant number, since it is smaller than the sum of its proper divisors (27302533920).

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

10061949600 is an frugal number, since it uses more digits than its factorization.

10061949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10061949600 in words is "ten billion, sixty-one million, nine hundred forty-nine thousand, six hundred".