61169320800 has 864 divisors, whose sum is σ = 259333401600. Its totient is φ = 13780316160.

The previous prime is 61169320789. The next prime is 61169320829. The reversal of 61169320800 is 802396116.

61169320800 is a `hidden beast` number, since 611 + 6 + 9 + 32 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107502916 + ... + 107503484.

It is an arithmetic number, because the mean of its divisors is an integer number (300154400).

Almost surely, 2^61169320800 is an apocalyptic number.

61169320800 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 61169320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129666700800).

61169320800 is an abundant number, since it is smaller than the sum of its proper divisors (198164080800).

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

61169320800 is a wasteful number, since it uses less digits than its factorization.

61169320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

It can be divided in two parts, 6116 and 9320800, that added together give a square (9326916 = 3054²).

The spelling of 61169320800 in words is "sixty-one billion, one hundred sixty-nine million, three hundred twenty thousand, eight hundred".