5913429849600 has 1920 divisors, whose sum is σ = 25168735764480. Its totient is φ = 1190412288000.

The previous prime is 5913429849589. The next prime is 5913429849629. The reversal of 5913429849600 is 69489243195.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×5913429849600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8557785255 + ... + 8557785945.

It is an arithmetic number, because the mean of its divisors is an integer number (13108716544).

Almost surely, 2^{5913429849600} is an apocalyptic number.

5913429849600 is a gapful number since it is divisible by the number (50) 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 5913429849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584367882240).

5913429849600 is an abundant number, since it is smaller than the sum of its proper divisors (19255305914880).

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

5913429849600 is a wasteful number, since it uses less digits than its factorization.

5913429849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 5913429849600 in words is "five trillion, nine hundred thirteen billion, four hundred twenty-nine million, eight hundred forty-nine thousand, six hundred".