61195495728000 has 1024 divisors, whose sum is σ = 214173177753600. Its totient is φ = 15441444864000.

The previous prime is 61195495727903. The next prime is 61195495728011. The reversal of 61195495728000 is 82759459116.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8119340232 + ... + 8119347768.

It is an arithmetic number, because the mean of its divisors is an integer number (209153493900).

Almost surely, 2^{61195495728000} is an apocalyptic number.

61195495728000 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 61195495728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107086588876800).

61195495728000 is an abundant number, since it is smaller than the sum of its proper divisors (152977682025600).

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

61195495728000 is a wasteful number, since it uses less digits than its factorization.

61195495728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 61195495728000 in words is "sixty-one trillion, one hundred ninety-five billion, four hundred ninety-five million, seven hundred twenty-eight thousand".