5961806323200 has 5040 divisors, whose sum is σ = 29873364388560. Its totient is φ = 1163817123840.

The previous prime is 5961806323171. The next prime is 5961806323241. The reversal of 5961806323200 is 23236081695.

5961806323200 is a `hidden beast` number, since 5 + 9 + 6 + 1 + 8 + 0 + 632 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 503 ways as a sum of consecutive naturals, for example, 101047564771 + ... + 101047564829.

It is an arithmetic number, because the mean of its divisors is an integer number (5927254839).

Almost surely, 2^{5961806323200} is an apocalyptic number.

5961806323200 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 5961806323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936682194280).

5961806323200 is an abundant number, since it is smaller than the sum of its proper divisors (23911558065360).

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

5961806323200 is a wasteful number, since it uses less digits than its factorization.

5961806323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5961806323200 in words is "five trillion, nine hundred sixty-one billion, eight hundred six million, three hundred twenty-three thousand, two hundred".