61171624800 has 1728 divisors, whose sum is σ = 276394809600. Its totient is φ = 12507955200.

The previous prime is 61171624793. The next prime is 61171624823. The reversal of 61171624800 is 842617116.

It is a happy number.

61171624800 is a `hidden beast` number, since 6 + 1 + 17 + 162 + 480 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1036807171 + ... + 1036807229.

It is an arithmetic number, because the mean of its divisors is an integer number (159950700).

Almost surely, 2^61171624800 is an apocalyptic number.

61171624800 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 61171624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138197404800).

61171624800 is an abundant number, since it is smaller than the sum of its proper divisors (215223184800).

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

61171624800 is a wasteful number, since it uses less digits than its factorization.

61171624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 61171624800 in words is "sixty-one billion, one hundred seventy-one million, six hundred twenty-four thousand, eight hundred".