6161303599200 has 1152 divisors, whose sum is σ = 24575927040000. Its totient is φ = 1483616010240.

The previous prime is 6161303599127. The next prime is 6161303599247. The reversal of 6161303599200 is 29953031616.

6161303599200 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 30 + 3 + 599 + 20 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 940223124 + ... + 940229676.

It is an arithmetic number, because the mean of its divisors is an integer number (21333270000).

Almost surely, 2^{6161303599200} is an apocalyptic number.

6161303599200 is a gapful number since it is divisible by the number (60) 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 6161303599200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287963520000).

6161303599200 is an abundant number, since it is smaller than the sum of its proper divisors (18414623440800).

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

6161303599200 is a wasteful number, since it uses less digits than its factorization.

6161303599200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 6161303599200 in words is "six trillion, one hundred sixty-one billion, three hundred three million, five hundred ninety-nine thousand, two hundred".