61106572800 has 1920 divisors, whose sum is σ = 289831449600. Its totient is φ = 12262440960.

The previous prime is 61106572781. The next prime is 61106572817. The reversal of 61106572800 is 827560116.

61106572800 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 6 + 572 + 80 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 912038367 + ... + 912038433.

It is an arithmetic number, because the mean of its divisors is an integer number (150953880).

Almost surely, 2^61106572800 is an apocalyptic number.

61106572800 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 61106572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144915724800).

61106572800 is an abundant number, since it is smaller than the sum of its proper divisors (228724876800).

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

61106572800 is a wasteful number, since it uses less digits than its factorization.

61106572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 611065 and 72800, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 61106572800 in words is "sixty-one billion, one hundred six million, five hundred seventy-two thousand, eight hundred".