29800740261600 has 6048 divisors, whose sum is σ = 148702969400832. Its totient is φ = 5690539008000.

The previous prime is 29800740261581. The next prime is 29800740261667. The reversal of 29800740261600 is 616204700892.

It is a happy number.

29800740261600 is a `hidden beast` number, since 2 + 9 + 80 + 0 + 7 + 402 + 6 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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 polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 488536725570 + ... + 488536725630.

It is an arithmetic number, because the mean of its divisors is an integer number (24587131184).

Almost surely, 2^{29800740261600} is an apocalyptic number.

29800740261600 is a gapful number since it is divisible by the number (20) 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 29800740261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74351484700416).

29800740261600 is an abundant number, since it is smaller than the sum of its proper divisors (118902229139232).

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

29800740261600 is a wasteful number, since it uses less digits than its factorization.

29800740261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 29800740261600 in words is "twenty-nine trillion, eight hundred billion, seven hundred forty million, two hundred sixty-one thousand, six hundred".